プレプリどんどん: math.GR

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半環と群とラティスとノット - 2026/11/11の論文17本

Nov 11, 2026 30 min

arXiv math.GRの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-11-11/ Profinite groups with finite conjugacy classes of commutatorsSmooth actions of Baumslag-Solitar groups on the intervalOn Distinct Powers in Finite GroupsA congruence-group counterexample to Kourovka Problem 21.7An additively idempotent semiring of least order generating a limit varietyAutomorphisms of the Reduced Finitary Power Monoid of $\N^d$Invariant measures, Gelfand pairs and integral representationsNon-closed products in branch and weakly branch groupsPoisson boundaries of lattices in locally compact groupsProgression-free sets in class $2$ and arbitrary finite groupsProperty Gamma and McDuff Factors from Shift-Similar and Houghton-like GroupsThompson indices of knots and the invertibility problemSurface subgroups with prescribed finite quotientsBounding the security of the Bromberg-Shpilrain-Vdovina hash functionOn L\'{e}vy type subgroups of the symmetric group of $\omega$ associated with simple density functionsCoxeter cubes on the graph associahedron and separable elementsA Symmetrization for Almost Symmetric Numerical Semigroups

複雑な群と代数的な性質 - 2026/11/10の論文26本

Nov 10, 2026 46 min

arXiv math.GRの新着論文26本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-11-10/ Higher properties T and finiteness properties for twin building latticesAutomorphism of reduced finitary power monoidsMarginal Congruences and Elements for Two Commutator Words in Completely Regular SemigroupsA novel Non-Homogeneous Local Representation of the Braid GroupThe Herzog--Sch\"onheim Conjecture for Solvable GroupsProperty $R_\infty$ for Higman$\unicode{x2013}$Thompson GroupsFinite soluble groups with Sylow subgroups of class at most two are IYB-groupsThe cohomology of finite simple groups is unboundedGroup cosets with all elements automorphically equivalentSchur multiplier exponents of finite $p$-groups: bounds and critical-class phenomenaExtreme amenability and failure of the L\'evy property for the trace-class special unitary groupIntegrable Measure Equivalence and Gromov's conjecture on nilpotent groupsGorenstein modules over Thompson's groupStrong pseudo Frobenius numbersRestrictions to a principal $A_1$-subgroupCan small transformers learn the language of Coxeter groups?Twisted pencils of quartics, braid monodromy factorizations, and non-Hopfian Hurwitz curvesFinite groups with consistent subgroup latticesBott--Chern and Aeppli Cohomology of toroidal groupsOn Proximity Subgroups of GroupsA Lefschetz Alternative for Real Characters on Smooth Quasi-Projective VarietiesOn the monotonicity of amenable category for geometric 4-manifolds and their connected sumsFundamental Groups of Permutation ComplexesSections of the Kottwitz homomorphism and affine pinningsDualities and completions of median algebras and semilattices: a universal-algebraic approachLie algebras graded by the root system $AG_2$

群表現と双曲性と閾値 - 2026/11/9の論文12本

Nov 9, 2026 22 min

arXiv math.GRの新着論文12本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-11-09/ The quaternionic reflection groups with imprimitive complexifications and the finite subgroups of GL(2,C)Bounds on Negligible Thresholds in Group CohomologySlim Polygons, Hyperbolicity, and a new Quasi-Isometric InvariantBraid Groups in Lean : Formalizing Dehornoy's Subword Reversing AlgorithmFinitely Presented Covers of Topological Full GroupsZariski dense hyperbolic 3-manifold groups in $\mathrm{SL}(4,\mathbb{Z})$Annular webs and Guralnick's conjectureOn the existence of automorphisms acting expansively on the space of one-parameter subgroups of connected Lie groupsSharp isoperimetry in groups of polynomial growthSharp universality thresholds for random profinite groupsStrong Convergence for Zig-Zag Products and Typical Spectra of Irregular GraphsExploring the Regular and Singular Loci of Group Representation Varieties

群とグラフと対称性の探求 - 2026/11/6の論文9本

Nov 6, 2026 17 min

arXiv math.GRの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-11-06/ Extending a property of vector spaces to abelian groupsA positive answer to Barsotti and Carman's question on unit groups of Burnside rings of fusion systemsDense Exact Factorizations of Countable Topological GroupsA Note on the OpenAI Construction of Counterexamples to the Kaplansky Direct-Finiteness ConjectureSteinberg module and top-dimensional cohomology for arithmetic Chevalley groupsOn supersoluble like groups of automorphisms of compact Riemann surfacesDistinguishing invariants of Cayley Graphs, Hamming graphs, and wreath product actionsAverages of sub-additive functions through non-F{\o}lner sequencesData-driven discovery of intrinsic Lie point symmetries of differential equation systems

グラフと群と幾何学の構造 - 2026/11/5の論文10本

Nov 5, 2026 18 min

arXiv math.GRの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-11-05/ Conjugator length of Bestvina-Brady groupsAssouad--Nagata dimension of systolic complexes with almost flat intervalsLarge orbits of $p$-groups on conjugacy classesGalois's lost proof on $PSL(2,p)$Lifts of Brauer characters and vertex pairs for odd primesNon-Pseudo-Arithmetic Hyperbolic 4-ManifoldsOn the Cameron-Praeger conjecture for Steiner 6-designsA characterization of a family of integral Cayley graphsBoxicity of Power Graphs of Finite Nilpotent GroupsThe full Kolakoski shift is topologically transitive

群論とグラフ構造の解析 - 2026/11/4の論文14本

Nov 4, 2026 24 min

arXiv math.GRの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-11-04/ Invariant random subgroups of the finitary special linear group over a finite fieldFiniteness properties of centralisers in $\mathrm{Out}(F_N)$ and automorphisms of free-by-cyclic groupsKaplansky's conjectures fail for torsion-free hyperbolic groups in positive characteristicChordality of Enhanced Power Graphs of Finite Simple Groups: A Resolution of a ConjectureAlperin weight bijections and dimensions of simple modulesMorse accessibility with applications to Coxeter groupsA surface-group action on real-hyperbolic space with no Cannon--Thurston mapRemarks on the Farthing--Muhly--Yeend inverse semigroup of a finitely aligned higher-rank graphProfinite approach to S-adic shift spaces II: Invertible directive sequencesRelative Tate-Shafarevich kernel of a reductive group over a global fieldSeparately continuous maps into regular spaces and continuity of operations in separable semitopological groupsAn Ito-Michler type theorem and the prime class graph of weakly integral braided fusion categoriesOdd-ordered Cayley graphs satisfy Erd\H{o}s--Gy\'arf\'asDecompositions of homomorphisms of abelian $p$-groups with $p^2$-bounded target

構造と表現と集合の解析 - 2026/11/3の論文29本

Nov 3, 2026 49 min

arXiv math.GRの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-11-03/ The Exact Central-Index Profile of Groups with Bounded NoncommutativityGenerating the liftable outer automorphism groups of regular cyclic coversA faithful representation and profinite completionChain Conditions for Abelian Normal SubgroupsA proof of the sharpness conjectures for all saturated fusion systems$M$-subgroups and normal-subgroup lattices of finite groupsFinite Groups with Few Almost Maximal SubgroupsOn a finite group in which every maximal subgroup of order divisible by $p$ containing the normalizer of some Sylow subgroup is nilpotentA note on an extension of Shidov's theorem and Shlyk's theoremBuildings governed by twisted Bruhat ordersDigital Finite Group TheoryConstructing free subgroups of matrix groupsA complete description of the algebraic structure of pseudocompact abelian groupsFinite groups with all involutions fusedSingular Loci of SL2(C)-Representation Varieties of Non-Hopfian Baumslag--Solitar GroupsVanishing-set inclusion and character degrees in finite $p$-groupsDiagram of Geodesic Intervals in $C'(1/8)$-GroupsSome Constructions in the Category of Topological Partial ActionsSpectral Fields and Unitary Descent: Local splitting, simultaneous norms, and transcendental obstructionsOn subgroup perfect codes and regular sets in generalized Cayley graphsSecant dimensions and bilinear decomposition widths for finite Heisenberg groupsThe most singular loci of twisted character varietiesThe inductive Navarro-Alperin weight condition for the Suzuki and Ree groupsQuasimorphisms and bounded cohomology of transformation groups of nonorientable surfacesFull-Rank Constructions of Explicit Lossless Expanders and Good Small-Set qLTCsA resolution of the Steinberg module of a parabolic subgroup of GL_nCentralizers of maps as automorphism groups of Yang--Baxter solutions$C^1$-rigidity of $\mathbb{H}^{p,q}$-convex cocompact representations...

群の構造と計算の限界 - 2026/11/2の論文11本

Nov 2, 2026 19 min

arXiv math.GRの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-11-02/ Centroids Of Partially Commutative Two-step Nilpotent GroupsOn the factorization graph of finite groupsShort Jennings series and the modular isomorphism problemFunctorial Analysis of Group-Alphabet Cellular AutomataA local-to-global fixed point theorem for $\CAT(0)$ spaces with a uniform elliptic gapOn finite simple groups possessing a conjugacy class of size 3p^nHopficity of braided and labeled Thompson groupsNon-sofic Tarski monstersGroup Isomorphism and the Polylogarithmic-Time Hierarchy: Depth-2$\frac{1}{2}$ Circuits and Lower BoundsCutoff for random Cayley graphs of finite groupsIRA Rigidity and boomerang subalgebras of group von Neumann algebras

群とグラフと代数とランダム - 2026/10/30の論文27本

Oct 30, 2026 56 min

arXiv math.GRの新着論文27本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-30/ Simple Torsion-Free Linear Groups from Global Division AlgebrasQuasiisometric embeddings of right-angled Artin groups into productsOn isomorphisms of tetravalent Cayley graphs over generalized quaternion groupsTransfer kernels and the Schur multiplierVietoris-Rips complexes of affine Coxeter groupsRandom Non-Commutative Error-Correcting CodesNumber of ends of conjugacy diagramsGrothendieck Pairs, Functors and Profinite InvariantsComplete regular dessins and non-metacyclic bicyclic 2-groups with cyclic commutator subgroupSubindices of two-element subsets of finite groupsEpimorphism testing with dihedral targetsRandom semigroups \'a la GromovLarge Ree groups acting point and line-primitively on finite generalised quadranglesOn $\kappa$-existentially closed groups with few automorphismsDiscrete hermitian groups are FC-hypercentralLie (super)algebras generated by reflections in finite reflection groups of exceptional typeMaximal regular subsemigroups containing the group of units of transformation semigroups that preserve a uniform equivalence relation with two classesOn a Conjecture of FiedorowiczPrimitive flag-transitive generalized quadranglesExtended weak order in all rank three Coxeter groupsInvariant means, coset correct means and the Hahn-Banach TheoremLarge deviations for random walks generated by countable groups: a unified approachEvery group is the automorphism group of a set-theoretic solution of the Yang--Baxter equationStopping Rules and the Poisson Boundary of Random Walks on Countable GroupsInner $\mathrm{C}^{\ast}$-Selfless GroupsPresentations for sisters of one-cusped Picard modular groupsAn Adian-Rabin theorem for quantum automorphism groups of graphs

グラフと群の代数的幾何学 - 2026/10/28の論文16本

Oct 28, 2026 30 min

arXiv math.GRの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-28/ Minimal Alt(6)-modules with additive dimension on characteristic non 3The Andreadakis conjectureDegree-one cohomology of metacyclic $2$-groups: a low-bit dichotomyFailure of the congruence Hasse principle for commutators in orientable surface groupsOn $\pi$-nilpotencies of finite skew bracesIrrationality of the conjugacy growth on Heisenberg groupsRepresentation and abelianization growth, particularly along expanding sequencesOn a problem of A. N. Skiba and L. A. Shemetkov concerning $S_n$-closed subformations of a one-generated formationAlgebraic fiberings of right-angled Coxeter groups on bipartite cone graphsOn Hamilton cycles in quasiprimitive graphs of order $2pq$A new infinite family of covers of complete graphs that admit a half-transitive action of a Suzuki simple groupRecognizing convergence actions as proper isometric actions on hyperbolic spacesFilling knots and essential geodesic systoleRealizing graph automorphisms as geometric symmetries of straight line drawingsNon-split groups of Lie type and iSchur algebras with unequal parametersRank functions, $\mathbb{Z}_p$-extensions and class numbers

Cayleyグラフと代数構造の解析 - 2026/10/27の論文25本

Oct 27, 2026 47 min

arXiv math.GRの新着論文25本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-27/ Extensions of a family of Linear Cycle Sets whose underlying group is a product of two cyclic groupsA crystallographic quotient of the framed braid group and associated flat manifoldsAbsolutely universal projective embeddings of long-root geometries of orthogonal typeCounterexamples to congruences in finite p-groupsOn the isomorphism problem of Cayley digraphsOn 2-Arc-Transitive Cayley Graphs of Nonabelian Characteristically Simple GroupsWord Trace Formulas over Compact Groups and Connected CumulantsThe measure equivalence classification of Baumslag-Solitar groupsChain flaring fails on the rose for atoroidal irreducible automorphismsAbelian quotients and orbit sizes for subgroups of linear groupsThe_Quadratic_Conjecture_and_p-groups_of_maximal_classNon-discrete complex hyperbolic $(p_1,p_2,p_3;p_4)$-triangle groupsModular representations of metabelian groupsFinite groups with exactly 2p + 1 subgroups of order pInfranormal Kazhdan subgroups and instability in finite actionsThe geometric combinatorics of $k$-shuffle polynomialsThe Symmetry of Differential Neural Tangent Kernel under the Orthogonal GroupLocal Reflexivity and Exactness for Reduced $C^*$-Algebras of Wreath ProductsCross work induced by transformations on the symmetric group and related transformation semigroupsThe flipping principle for boundedly acyclic covers and coloringsOn Cayley Graphs of Skew Braces and Their Distances2-generation of Chevalley Lie algebras over finite fieldsCutoff for random walks on nilpotent groupsGeneralizing Praeger--Xu graphsProjections in reduced group C*-algebras with prescribed trace values in (0,1)

結晶群とFrobenius群とグラフ構造 - 2026/10/26の論文11本

Oct 26, 2026 21 min

arXiv math.GRの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-26/ Profinite groups whose closed subgroups are subnormal of defect at most twoCubic edge-transitive graphs of order $\ell p^2$Cofinite integral braces and crystallographic groupsSplit Frobenius Groups, Equational Domains, $\mathfrak{X}T$- and $CS\mathfrak{X}$-groupsThe restricted Hurwitz action on cameral decompositions of Coxeter elementsLarge profinite genus and extensions in Bestvina-Brady groupsSpectrum of the basilica group and the associated real and complex 2D dynamicsSingular Loci of SL2(C)-Representation Varieties of Torus Knot GroupsA New Characterisation of SelflessnessAssociative Lifts of CW SemigroupsRealizable Cohomology Classes of Dihedral and Generalized Quaternion Groups

群と捩れと軌道とコセット - 2026/10/23の論文9本

Oct 23, 2026 19 min

arXiv math.GRの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-23/ Automorphisms of Twisted Chevalley Groups over Commutative RingsOn a finite group in which every non-nilpotent maximal invariant subgroup of order divisible by $p$ is normalOn the generation of the symmetric group by index relations of three prefix reversalsOrbits of $p$-Nilpotent Group Actions for Small PrimesShort curves in homogeneous spaces of the unitary group for unitarily invariant normsThe Penrose Correspondence over a Non-Archimedean FieldSearching for the power rangersGroups satisfying the minimal condition on centralizers are complete co-analyticTriple parabolic cosets have unique Bruhat minima

群と環の代数構造と幾何学 - 2026/10/22の論文10本

Oct 22, 2026 20 min

arXiv math.GRの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-22/ Outer automorphisms of HNN extensions of abelian groupsOn Finite Groups with Element Order Set of Width 3The first $\ell^2$-Betti number, cost and rank gradient of few-relator random groupsKobayashi's problem for power semigroups of inverse semigroupsThe Conjugacy Problem for Recursively Presented Virtually Soluble Groups of Finite Pr\"ufer RankOn unit groups of purely infinite ringsThe Diophantine Problem with constraints in some free-by-cyclic groupsThe geometric combinatorics of $k$-shuffle braid groupsContinuity of Furstenberg entropy on Bowen Poisson bundlesRestriction of $p'$-degree characters, fields of values, and relative normal complements

カクタス群とトンプソンの群とメディアン空間 - 2026/10/21の論文15本

Oct 21, 2026 29 min

arXiv math.GRの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-21/ On $c$-Normal Maximal Chains of Sylow Subgroups in Finite GroupsQuantum polynomial-time conjugacy in metabelian groupsOrdered frequency in relatively hyperbolic groupsLinear $2$-Group Actions With Exactly One Regular OrbitMaximal ranks of free abelian subgroups of generalized cactus groups associated with finite Coxeter systemsClassification of finite subgroups of generalized cactus groupsFinite groups with large sum of element orders compared to cyclic groupsThompson's group $F$ is not weakly amenableWielandt subgroups of nilpotent residuals and Fitting-height boundsDeterminant characters and multiplicative solubility of finite skew bracesGalois Groups of Shifted Exponential PolynomialsMedian spaces with the strict separation property and superrigidity of actionsElements of the Green ring related to Alperin's weight conjectureRandom $C^*$-subalgebrasC*-selflessness and $\mathcal{Z}$-stability for Thompson's group $F$

双曲群とソフィック性と1関係群 - 2026/10/20の論文22本

Oct 20, 2026 37 min

arXiv math.GRの新着論文22本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-20/ The prime graph complements of $\mathcal{A}_{11}$- and $\mathcal{A}_{13}$-solvable groupsThe Siemons--Wagner property and Bradley's conjectureAn example of a non-sofic hyperbolic groupAn explicit section of the Laudenbach-type exact sequence of the big mapping class group of $M_\Gamma$On the strong domination relation of order sequences for some group extensionsThe locally quaternion group is a countable $B$-groupLambda number of the reduced power graph of finite groupsA characterization of finite modular 2-groups via magnitude homologyOn the isoperimetric profile in infinite dimensional pro-Lie groupsModel Theory and Algorithms for One-Relator GroupsThompson's groups are soficOn quandles with isomorphic enveloping groupsOn Huppert's $\rho$-$\sigma$ conjecture for primes in the orders of elementsLinear Group Actions with Exactly One Regular OrbitProperty RD and boundary representations]{Property RD for $\widetilde A_2$ groups\\and boundary representationsOn the kissing number of hyperbolic surfaces with a small systoleAn Atiyah-Segal homomorphism for approximate representations of infinite groups, and almost multiplicative ucp mapsWeighted Power Means on Upper Triangular Matrix GroupsBounded orbits on homogeneous spaces and bounded geodesics on locally symmetric spacesA Non-linearizable Action of $S_3$ on Free Metabelian Lie and Associative AlgebrasAdelic Asphericity and One-Relator Pro-$p$ GroupsThe moduli space of quasimorphisms on subshifts and its pressure geometry

群と環と幾何学の構造的性質 - 2026/10/19の論文14本

Oct 19, 2026 29 min

arXiv math.GRの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-19/ Eventual Exactness and Rigidity for Abelian Covers of GroupsFailure of direct finiteness for group algebras in every odd characteristicThe Diophantine Problem in Wreath Products of GroupsComparing word probabilities in finite groupsOn the residual polynilpotence of tree products of groups with locally cyclic edge subgroupsDerivations of Lie $p$-rings with applications on ring extensions and computational methodsFinite power image families and automorphism actions in linear groupsCharmenability of twin building latticesSubvariety intervals and limit varieties of zero extensions of mirror-word semiringsTwo-generator presentations with a relation gapSeparable elements and Bruhat ordersSigned dual graphs and face spectral gaps of Cayley 2-complexesStrongly Choquet-Deny groups and invariant strictly convex renormingsArithmeticity, superrigidity, and totally geodesic submanifolds of infinite-volume hyperbolic manifolds

自同型と群の構造と幾何学的空間の解析 - 2026/10/16の論文16本

Oct 16, 2026 33 min

arXiv math.GRの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-16/ Canonical Kummerian Kernels in 1-Smooth Pro-$p$ Poincar\'e Duality Groups of Dimension ThreeResolutions of orbifold generalised triangle groupsQuadratic fields of values of finite solvable groupsAutomorphisms of twisted Chevalley groups of type ${}^2E_6$ over local ringsA simultaneous variant of the Hall-Paige theorem and applicationsTwo-element factors and finite bases for additively idempotent semiringsAutomorphisms of triality groups over local ringsOnly their cardinality can prevent groups from being quotients of weakly branch groupsLocally indicable groups outside Brodski\u{i}'s quasivarietyApplications of $C^*$-Entropy to Representation Growth for Discrete GroupsRandom Quotients of Hyperbolic Spaces with Respect to WPD Actions and Linear Connectivity of the BoundaryCayley graphs of abelian groups, circular colorings and discrete fundamental groupsAutomorphisms of Free Metabelian Lie Algebras, IIMultivariate $P$- and $Q$-polynomial structures of generalized Johnson association schemesGlobal transfer systems and endopurity of subgroupsUniform Intersection Numbers and Subgroup-Based Generating Graphs of Groups

特殊な群と代数的な制約 - 2026/10/15の論文17本

Oct 15, 2026 34 min

arXiv math.GRの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-15/ The Euler Characteristic of Spherical Bestvina-Brady KernelsAn analog of Quillen-Venkov for eventually negligible classes and radicality for finite irreducible Coxeter groupsConformal dimension and self-similar groupsInvariable Generation of Groups of HomeomorphismsPrefixes of Coxeter elements are Coxeter elements of the reflection subgroups they generateMaximal subgroups of topological full groups of shifts of finite typeOn the maximum relational complexity of affine groupsThe finite basis problem and subvariety intervals for max-plus matrix semiringsEquational theories of flat semirings $S(W)$Generation by lazy and invertible cellular automata over the Klein four-groupMotion groups, Legendrian links, and non-trivial loops of embeddingsInvariant factors from products of cyclotomic polynomials, with applicationsDrift and joint minimal displacement for groups acting on hyperbolic spacesTopological obstruction for Anosov representations into $\operatorname{PO}(p, q)$The zero divisor and augmentation conjectures for medial quandle ringsCrystallographic quotients of Artin braid groups and torus bundles over flat $3$-manifoldsUniversally extendible characters

構造と作用の多様性 - 2026/10/14の論文44本

Oct 14, 2026 1 hr 29 min

arXiv math.GRの新着論文44本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-14/ Constructions and automorphisms of quandlesWhen do lazy and invertible cellular automata generate all cellular automata?Lie groups are countably representableA note on the proof of nonamenability of FFinite groups with conjugacy classes of size $2p^n$The one percent property for free groupsGroups with the fixed-point property$\mathrm{CS}\mathfrak{X}$-groups and free constructionsMatrix Waring Problem-IIIZero divisors in group algebras of torsion-free groups in odd characteristicComplete mappings stabilizing Sylow $2$-subgroups in central quotients of special linear groupsOn a finite group in which every non-supersolvable maximal subgroup is a TI-subgroupThe group generated by a graph's derangementsLearning a Group Element from Its Action: Galois Correspondences, Optimal ERM, and an Abel-Ruffini Threshold for the Natarajan DimensionQuandles with isomorphic representation categoriesAn explicit construction of a limit variety of groupsProfinite recognition of uniformityOn a Combinatorial Characterization of Abelian Group ActionsOn the local Frattini subgroup of a finite groupMultivalued Groups and Schur RingsNonarchimedean discrete groups and quasi-isometric doubles of free groupsA non-nilpotent localization of a finite p-groupA characterization of central extensions relative to n-nilpotent objectsClassifying quasi-representations of groups via their charactersEntropy, isoperimetry and the total variation profile of random walksStable reduction and large Nielsen orbits on generalized Markoff surfacesThe theory of $(\lambda,\mu)$-fold factorizations of groupsMinimal Product Sets in Finite Metacyclic GroupsRegular automorphisms of periodic $p'$-groups need not be splittingThree-point orbits of 2-transitive groups and their combinatorial applicationsStabilizers and maximal subgroups of topological full groupsContinuum-many discontinuous actions of $\...

有限群のCayleyグラフと構造 - 2026/10/12の論文15本

Oct 12, 2026 27 min

arXiv math.GRの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-12/ Minor exclusion and planar rigidityLInearity of Tubular GroupsQuasipositive Braids, Presentations, and Garside StructuresOn the number of conjugacy classes of finite solvable groups of order divisible by $p^2$Cohomology and multiplicative gaps for quasi-isometries of nilpotent groupsClasses of Subgroups of a finite group with isomorphic quotient groupsOn $p$-groups with one nonlinear codegree$D^L$, $D^Q$ Spectrum and Eigenvalue-free Interval of Cayley Graphs over Finite Nilpotent GroupsProperty $R_\infty$ for Artin and Coxeter groups whose outer automorphisms are length-preservingThe finite basis problem for varieties generated by all semirings of a fixed orderThe six-element additively idempotent semiring $B_2^1$ is inherently nonfinitely basedRecognizing oriented knots from finite quotients with one marked elementActions of Fell bundles, II: tensor products and Fourier-Stieltjes algebrasLinearity of Graph Manifold GroupsTwo-orbit right-angled Polytopes and Hypertopes

格子と半環と群の多様な性質 - 2026/10/9の論文22本

Oct 9, 2026 44 min

arXiv math.GRの新着論文22本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-09/ The Conway-Wales lattice and the Rudvalis and T**s groupsLocal Presentations of Groups: Completion and Smith's ConjectureInfinite girth and profinite properties of residually finite groupsAlmost all finite groups are $2$-groups of class twoUniform small cancellation in torsion-free hyperbolic groupsConjugacy problems in higher-dimensional Thompson groupsFinite index rigidity of free-by-cyclic groupsA generalization of the sum of element orders functionIdempotence criteria for lazy cellular automataFinite bases for Brandt semirings and naturally semilattice-ordered inverse semigroupsSelf measurable embeddings of mapping class groupsGroup maps on initial intervalsMal'cev products of rings satisfying $x^n\approx x$ and idempotent semiringsA proof of the Galt--Tyutyanov conjecture on Skiba's questionOrdinary $G$-permutable subgroups of finite simple groupsCondensed Whitehead ProblemReciprocity for projective and injective direct summandsBounded cohomology of transformation groups in all degreesWeak and genuine A_n-formality for number fieldsNoncrossing combinatorics of quasi-Coxeter elementsHigher-rank local mixing for cusped positive representationsColoring graphs of homologous spheres

Brin--Thompson群とHypertopesの対称性 - 2026/10/8の論文13本

Oct 8, 2026 27 min

arXiv math.GRの新着論文13本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-08/ Infinitely many Nielsen classes in mapping class groups and free-group automorphism groupsA continuum of coarse medians for all mapping class groups and right-angled groupsAbelian composition factors of finite rational groupsHigher Brin--Thompson groups are Kazhdan$\ell^2$-Betti numbers and $\Sigma$-invariants of graph products of cyclic groups and their automorphismsHypertopes with prescribed diagram symmetriesFrattini Geometry of Non-Generating Complexes: Symmetry, Homology and Betti NumbersOn the residual finiteness of the non-abelian exterior square of wreath products and the Grigorchuk groupFinite index extensions of treeable equivalence relations are treeableOn unifying Jones representations of braid groups and Thompson's groupAsymptotic connectivity, hamiltonicity and toughnessFinite Chains of Two-Complexes and Acyclic CoversNullhomotopic equivariant shifts and Borsuk-Ulam-compatible compact abelian groups

モノイドと群の構造と計算量 - 2026/10/7の論文13本

Oct 7, 2026 27 min

arXiv math.GRの新着論文13本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-07/ Unipotent automorphisms of modular group algebras and the homology of the Lazard Lie algebraBoundary Algorithms for Thompson GroupsOn weak commutativity between $n$ isomorphic groups, $n \geq 2$From stylic monoid to Catalan monoidTesting epimorphism onto the bicyclic monoid is $\mathsf{NP}$-completeCayley graph diameters for fixed cycle types are eventually quasipolynomialCounterexamples to the continuous Aldous-Lyons conjectureAbelian quotients and the largest orbit sizes of linear groups of odd orderIrreducibility of Endomorphisms of Finitely Generated Free SemigroupsOn open covers of aspherical spaces satisfying $\pi_1$-constraints and bounded Adamson cohomologyRepresentations of the infinite Cuntz algebraCounterexamples to Hardy--Littlewood maximal inequalities on solvable groupsAlmost Tight Bounds for Isomorphism Testing and Basis Construction in Finite Abelian Groups

ラティスとグラフと剛性 - 2026/10/6の論文21本

Oct 6, 2026 39 min

arXiv math.GRの新着論文21本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-06/ Arc-disjoint Hamiltonian paths in Cayley digraphs with a normal difference subgroupGroups of Class Transpositions with Prescribed Prime Divisors of the ModuliAsymptotic Schur orthogonality for latticesA non-plain virtually free group with a strictly 2-geodetic Cayley graphThe van Est theorem for Rota-Baxter Lie groupsPresentation of Borel subgroups of Kac-Moody groups over local ringsConjugacy and period in symmetric diagram groupsThe group class SJ is not countably recognizableUniquely Ergodic Branching Subset Currents on Free and Surface GroupsSubgroup and Submonoid Membership in the lampshuffler of $\mathbb{Z}$Polynomial filling functions of sublevel sets in $\mathrm{CAT}(0)$ cube complexesEquational Theories of Interval Semirings of PosetsHigher Braided Mixed Sums, Intersection Lattices, and Symplectic Four-ManifoldsAmenable groups with nearly exponential sofic profile, and quantum channels that need nearly linear memoryTorsion of every finite order in the homology of graph braid groupsExtension properties for partial permutationsEnumeration of Upper Triangular Symplectic Renner MonoidsPolynomial families of incident flags and explicit off-diagonal Ramsey graphsProfinite rigidity and quandle colouringsThe Brou\'e invariant of a Morita equivalence with an endopermutation sourceA Cohomological Characterization of the Clifford Hierarchy

超群と構造と幾何学と剰余 - 2026/10/5の論文12本

Oct 5, 2026 24 min

arXiv math.GRの新着論文12本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-05/ Soficity of One-Relator GroupsOn the residual finiteness of the non-abelian exterior square of some Artin groups, constructible soluble groups, generalised Baumslag-Solitar groups and $SL_n(\Z)$Prime Graphs of Locally Torsion Ultragroups, Metanilpotent Groups, and $T$-Solvable GroupsUniform Upper Bounds for Conjugacy Separability Growth in Nilpotent GroupsArithmetic properties of solubilizersMenger Curve and Non-Planar Boundaries in Quotients of Hyperbolic GroupsOn the type of a complex hyperbolic triangle groupArbitrary Stage Spectra for Raikov Remainders Along Quotient TowersProving at Scale for Universal AlgebraReflections on branched coversLarge-scale rank and geometry of the Lipschitz metric on geodesic currentsQWEP stability under twisted crossed products

群と有限と代数とグラフ - 2026/10/2の論文15本

Oct 2, 2026 32 min

arXiv math.GRの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-02/ Detecting Cohomological Dimension Three in Free-by-Demu\v{s}kin Pro-$p$ GroupsA note on the non-abelian tensor squares of linear groupsFinite Non-$p$-Groups with 5 Automorphism OrbitsA one-sided Auslander--Lyndon theoremWatkins's conjecture holds for all infinite groupsTilings of symmetric and alternating groups by conjugacy classesFinite abelian groups are Schur multipliers of finite solvable groupsFinite bases for full power semirings of finite nilpotent semigroupsA power-commutator presentation for the group of truncated polynomials under substitutionRotational Trajectory Synopsis GroupsFinite Orders of Products of Two Class Transpositions Divide 840Dimension subrings of Lie ringsPrime Graphs of Infinite GroupsBeyond odd characteristic: Faster isomorphism testing of 2-groups of Frattini class 2Infinite free pro-p products as absolute Galois groups

群と代数とスペクトル - 2026/10/1の論文16本

Oct 1, 2026 35 min

arXiv math.GRの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-01/ Skew-product groups of finite abelian $p$-groupsOn a generalization of the Reidemeister spectrum of a finite groupCommon non-zero graphs of groups with few edgesThe Margolis-Rhodes Monoid of a GraphCarter-like theorems for skew bracesThe Finite Basis Problem for Semirings of Order FourThe finite basis problem for flat semirings $S_c(W)$, $M_c(W)$ and $M(W)$Tensor factorization of local algebras$\mathcal{Z}$-stable and selfless inclusions for the infinite braid groupProfinite completions and cohomology jump lociExplicit Witnesses at Every Gap of the Depth Filtration of $\beta\mathbb{N}$Local spectral gap and the Stuck--Zimmer conjectureConnes-embeddability and twisted group von Neumann algebrasQuantum Algorithms for Minimum Generating SetCAS II: Symmetric Partitions as Kolmogorov ModelsSingularity of harmonic measures for hyperbolic lattices

生成と欠陥とモジュール - 2026/9/30の論文17本

Sep 30, 2026 37 min

arXiv math.GRの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-30/ Small Kazhdan constants for small generating sets of linear groupsThe classification of endpoint-transitive graphs with geodesic conditionRedundant generation in $\operatorname{PSL}_2\left(\mathbb{Q}_p\right)$Additive subgroups of Q: logarithmic description and intersection configurationsEvery countable group embeds in a group of type $\mathrm{FP}_n$Local conjugacy in prosolvable groupsSpectral gap, internality of relative commutants, and non-hyperlinear groupsAbsolute moved spaces and noncrossing partition posets in arbitrary Coxeter groupsOn certain classes of commutative g-dimonoidsLazard's Realization Problem for N-Series: Bar Obstructions and Finite-Quotient DescentA constructive ATLAS of finite simple groups in LeanSample Complexity of Equivariant Reinforcement LearningFarey Symbols for the Picard GroupOn Boston's Unramified Conjecture for $\GL_2$ and McLeman's $(3,3)$-ConjectureThe small Davenport constant of $E_2\times C_3^r$ for $0\le r\le3$Absolutely irreducible modules via James triplesA Galois-equivariant Dade-Glauberman-Nagao correspondence with central defect

有限群と半群と代数と表現 - 2026/9/29の論文26本

Sep 29, 2026 55 min

arXiv math.GRの新着論文26本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-29/ Infinitely many finite simple groups of Lie type are not generated invariably by two elements of prime orderDetecting divisibility in uniquely divisible $\mathfrak{N}$-semigroups via homomorphisms to $\mathbb{R}_{>0}$The finite basis problem for additively idempotent semirings of order four, IVThe finite basis problem for $2\times 2$ triangular Boolean matrix semirings and incidence semiringsMatrix varieties over $S_7$: dimension-three stability and continuum-sized subvariety intervalsBandwidth limited functions on locally compact abelian groupsMaximal subgroups of topological full groups arising from factor maps and subgroupoidsThe Conway-Parker algebra and the largest Fischer groupA Reduction Theorem for the Alperin-McKay-Navarro ConjectureAnalytic, geometric and measured aspects of lamplighter-like groupsFinite-valued invariant metrics and a classification of natural groupsMazurov's question on fixed points of automorphisms of free Burnside groupsOn the residual finiteness of the non-abelian tensor square $G \otimes G$, the non-abelian exterior square $G \wedge G$ and the weak commutativity construction $\X(G)$Borel complexity for product of trees and commuting partial mapsThe lattice of varieties of semigroups with completely regular square. IIBounded-orbit lattice representations of finite groupsGreen languages and growth of free inverse monoidsFree abelian quotients of commensuratorsClassification of finite left-simple skew bracesOn the number of $\ell$-regular conjugacy classesFiniteness properties of profinite blocks and blocks with defect group $\mathbb Z_p^n$The automorphism group of the derangement graph of $\operatorname{PGL}_{2}(q)$ acting on the projective lineThe fields generated by character values of linear and unitary groupsMultiplicativity of the weak Haagerup constantGr\"{u}n's Lemma for Semiassociative Mal'cev AlgebrasUniqu...

双曲群作用とワード問題と算術格子 - 2026/9/28の論文7本

Sep 28, 2026 14 min

arXiv math.GRの新着論文7本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-28/ Uniformly Lipschitz Hyperbolic Group Actions on $\ell^p$The word problem in verbal products of groupsOn the order of a finite group with trivial centre and bounded conjugacy classesThe Robust Thompson's Conjecture for Alternating GroupsMotion planning invariants and families of subgroupsHorizon saddle connections and Veech groups of infinite-type dilation surfacesProfinite Non-Rigidity of Arithmetic Lattices and the K\"ahler Property

コクセター群とプロ有限群と自由群 - 2026/9/25の論文15本

Sep 25, 2026 31 min

arXiv math.GRの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-25/ Graphical Discreteness, Coxeter Doublings and Generalized PolygonsHeat kernels on Cayley graphs of free products of finite groupsPro-$\mathbf H_p$ density in the free group of rank two: a Frobenian criterion on the mod-$p$ torusQuasiisometry invariance of relatively hyperbolic TDLC groupsOn the language of palindromic reduced words in a Coxeter groupProof of the positive trace gap conjectureOn symmetric and twisted-unitary modular units in group ringsA Huppert-type $\rho^*$--$\sigma^*$ theorem for sub-class sizesOn vanishing and Hausdorffness of asymptotic cohomologyCoprime automorphisms of profinite groups and the commuting probability of Sylow subgroupsA finitely generated ICC non property (T) group that is neither inner amenable nor properly proximalHigh Rank and Multiplicity in Random and Perfect Profinite Groups$\mathrm{C}^*$-selflessness of vigorous groupsSpecht ideals for the imprimitive complex reflection group $G(r,1,n)$: geometric orbit types and a dominance theoremExistence of a Model Companion for Groups of Exponent 3

散在群と半環とコホモロジーと双曲曲面 - 2026/9/24の論文17本

Sep 24, 2026 34 min

arXiv math.GRの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-24/ Zeros and Roots of Unity for Characters of Solvable GroupsOn the inductive Giannelli-McKay condition for sporadic groupsHurwitz Equivalence of Reflection Factorizations in Types $B$ and $D$Finite quotients of spherical Artin groupsCosets with constant characteristic polynomialInherently nonfinitely based additively idempotent semiringsSome Infinite Families of Arithmetic Symplectic Hypergeometric GroupsA conditional construction of a nonhyperlinear group and the centralizer problemBergman's amalgamation problem over the circleSolubility from a disconnected common-divisor graph on $p$-regular conjugacy-class sizesBisoluble and Binilpotent Skew Braces of Finite Morley RankRank properties of commutators in finite groupsSylow synchronization in finite groups: the good caseGeometric lifting and Freiman's $3k-4$ theorem in compact connected abelian groupsBounded cohomology, Codimension two submanifolds and Pontryagin-Thom constructionsDefinite integral Albert algebras: arithmetic and finite geometryFiniteness of closed arithmetic hyperbolic surface bundles

群と環と多様体と位相 - 2026/9/23の論文29本

Sep 23, 2026 56 min

arXiv math.GRの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-23/ A compactness theorem for twisted-unitary elements of integral group rings, with a certified route to the theta-unitary Case A at window B(4) of the Promislow groupThe domain question for the Nielsen-Soelberg group rings: the commutative case, with certified ball checksMargulis-Soifer theorem for one-relator groupsThe universal valued Abelian groups of Niemiec are L\'{e}vy, strongly exotic, extremely amenable, and $\mathbb{G}_r(0)$ is generically monotheticA note on maximal subgroups of countable groupsOn the measure of definable sets in profinite groupsThe finite basis problem for all subvarieties of the variety $\mathsf{V}(S^0_7)$The unique limit subvariety of the max-plus variety and finite basis propertiesSmallest quotients and profinite rigidity of irreducible spherical type Artin groupsNonfinitely based intervals of power semiring varietiesOn the index map for AF-by-discrete groupoidsFinite Soluble Groups Need Not Admit Increasing Unrefinable Subgroup ChainsWord Length and Diameter in Permutation GroupsFinite bases and joins for semirings defined by the divisibility orderFinite Bases for Truncated Cyclic Group Flat Semirings with Two Independent ParametersRefining invariants of finite groups with class functionsA Counterexample to a Conjecture of MoretoNonabelian Torus Exteriors in $\mathbb S^4$ and Torus Replacement in Four-ManifoldsThe unique extremal threemodular lattice of rank 26, the generalized hexagon $(2,8)$, and the tight Cayley-plane $5$-designSolvability of isotropic $ \mathrm{K}_1 $-functor over semilocal ringsProduct subcomplexes and intersection complexes of weakly special square complexes4-manifold topology and collision rank of groupsOn the generation of multiplicative groups by small primesOn inversion sets of joins in weak Bruhat orderStructural Characterizations and Algebraic Realizations of a Family of Regular Integra...

格子と歪ブレースと表現とコホモロジー - 2026/9/22の論文31本

Sep 22, 2026 1 hr 6 min

arXiv math.GRの新着論文31本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-22/ A Machine-Checked Proof that Gardam's $\tilde{A}_2$ Lattice Does Not Have Unique ProductsCompatible additions on a six-element commutative semigroup: equational bases and subvariety latticesSkew braces whose left series is not generated by right-normed star productsOn Intersections of System NormalizersThe Hall-Janko Simple Group and the Icosian Leech LatticeOctonions, Albert vectors and the group ${}^2 \mathrm{E}_6(F)$Boundary Kernel Rigidity and Infinite-Dimensional Complex Hyperbolic RepresentationsOn the Moufang condition for polar spacesComputing Bogomolov multipliers and finitary Bogomolov multipliers of infinite groupsCharacterizing normal Hall subgroups by character degrees, IIRandom groups in the square model have property (T) at densities over $\frac{5}{12}$Exotic Unit Groups of Sylvester Rank CompletionsA Continuum in the Lattice of Semiring Varieties: The Interval $[\mathsf{V}(S), \mathsf{V}(S^0)]$Commutators of signed $n$-cyclesInverse Baer deformations and finite simple skew braces of nilpotent typeSkew braces of size $p^2q^2$. The cyclic Sylow $q$-subgroup caseOn the inductive blockwise Alperin weight condition for type $\mathsf B$ and type $\mathsf C$Determinant for automorphisms of Zappa-Sz\'{e}p product of groupsTaming Reidemeister zeta functions on virtually polycyclic groupsFixed point properties and cohomology of Banach representations of arithmetic groupsAbstract regular polytopes of $G_2(q)$ in even characteristicIwasawa theory of class field towersAlmost Trivial Units in Group RingsA twelve-term exclusion for the small Davenport constant of $E_2\times C_3^r$Associativity of the $\star$-product of skew bracesCounting tangles in coverings of closed 2-orbifolds via ribbon categoriesThe quasi-isometry classes of Galton--Watson treesAutomorphism Groups of Three-Dimensional Leibniz Algebras: A Complete DescriptionThe theory of...

群と幾何学と位相的構造 - 2026/9/21の論文10本

Sep 21, 2026 18 min

arXiv math.GRの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-21/ Topological isomorphism of procountable groups is universal analyticConjugator Length in Iterated Cyclic Amalgams of Free GroupsSurface subgroups of Baumslag doubles along short wordsProperty (T) for random groups in the density model with $d > \frac{1}{4}$Automorphism groups of Cayley graphs on almost simple groups with normal connection setsA paradoxical route from hyperbolic geometry to proper proximalityFinite Quotients of Right-angled Artin GroupsOn Shalev's Quantitative Version of Thompson's ConjectureHelly complexes are Hellyfications of their boundariesFinite covers of a product of surfaces with bounded rank and arbitrarily large systole

群と半環とモノイドの代数構造 - 2026/9/18の論文10本

Sep 18, 2026 17 min

arXiv math.GRの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-18/ The free multiplicative Lie algebra $L(P)$ for a finitely generated parafree group $P$Explicit equational bases for the power semirings of $S_7$Finite groups with a unique real $2$-blockCategorical forms of the rigid direct-system representation for finite local-unit-aligned totally ordered monoidsCanonical resolved-transport decomposition and reconstruction of local-unit-aligned ordered semigroupsKernel--wreath constructions and infinite families of finite simple skew bracesGeneration of Iterated Wreath Products Constructed from Full Transformation Monoids and Symmetric GroupsThe variety generated by all additively idempotent semirings of order fourThe small Davenport constant of $H_{27}\times C_3^r$On a class of combinatorial group invariants

群と幾何学と代数構造 - 2026/9/17の論文9本

Sep 17, 2026 16 min

arXiv math.GRの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-17/ Localizing the Gardam unit: the support geometry of units in F_2[P] and its non-unique-product relativesInvolution and Commutator Length in PU(n,1)Finite groups with large power-avoiding subsetsAn order automorphism of a Dlab group not induced by conjugationAffine Fixed Points on Flat Manifold PairsEntropy and Translation Length in the Ray GraphA computational framework for multidimensional loop-cocyclic Hadamard matricesGenerating the twist subgroup of the level $2$ mapping class group of a non-orientable closed surfaceOn the number of modular pairs in finite dimensional Lie algebras on finite fields

群と作用と不変量と構造 - 2026/9/16の論文15本

Sep 16, 2026 26 min

arXiv math.GRの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-16/ The Mathieu Property for Compact Connected Lie GroupsCoprime Actions and Characters Non-vanishing on the Fixed-point SubgroupMatroids and isomorphism problems for Bestvina-Brady groupsKazhdan constants for two-element generating sets of $\mathrm{SL}_n(\mathbb Z)$The Fourth Continuous Bounded Cohomology of the Complex Symplectic GroupUnipotence of a double commutator with transvectionsPalindromic Length in Free Groups: Reflections, Noncrossing Matchings, and Catalan FormsOn Cowling's $L^p$-integrability conjecture for Kunze--Stein groupsSelflessness, MIF and opposition in groups acting on exotic buildingsA classification of finite simply reducible groups of order at most 2000Uncountably many local isomorphism types of compactly generated simple groupsQuandles associated with group actionsMathieu groups as flag-transitive automorphism groups of block designsInvariant random subgroups of $C^*$-simple groupsConcise tensors with maximal symmetries

群と環と代数構造の性質 - 2026/9/15の論文18本

Sep 15, 2026 31 min

arXiv math.GRの新着論文18本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-15/ The dual of the T**s cone and dominance of Coxeter groupsConjugator length in nilpotent groupsHierarchical hyperbolicity, ball quotients, and the moduli space of smooth cubic surfacesFiniteness properties of closed subgroups of Thompson's group $F$Essential quotients of the cohomology of products of symmetric and alternating groupsSolvable Supplements to Normalizers of Cyclic 2-SubgroupsTorsion-freeness problem for matrix groupsA counterexample to the determinant approximation conjectureThe variety generated by all semirings of order three is nonfinitely basedAlgebraic and measurable embeddings between square-free right-angled Artin groupsOn Donkin's Tilting Module Conjecture IV: New FrontiersDuality and Baire like properties in topological abelian groupsOn Nilpotent and Hypocentral Quandle HomomorphismsFinite identity bases for flat semirings of linear wordsPHP decompositions and primitivity of group rings for linear groupsIntegral cohomology of the spherical and affine Artin groups of infinite classical familiesQuaternionic Reflections and Lie Generation in $G_2$Fusion-stable endosplit $p$-permutation resolutions

群の構造と特性と代数的性質 - 2026/9/14の論文10本

Sep 14, 2026 17 min

arXiv math.GRの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-14/ An automorphism tower of length $\kappa^+$Property $(T)$ and nonlinearity of mapping class group quotientsOn a question of Navarro on the field of values of characters of solvable groupsA local approach to a programme of Meierfrankenfeld: initial setting and the symmetric caseSynchronizing groups and weakly perfect graphs: a surveyFinitely generated groups of diffeomorphisms with prescribed critical regularity in every dimensionThe number of distinct element orders in a finite groupAlgebraic enumeration of local density improvements for Thompson's group $F$Cocenter of Hecke algebras of Kac-Moody groupsProjection and fibering in groups of bounded exponent

群の可逆性と計量幾何学 - 2026/9/11の論文3本

Sep 11, 2026 5 min

arXiv math.GRの新着論文3本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-11/ Reversibility and its asymptotic counting in Picard groupConjugator length in finitely generated groupsMetric Geometry of the Signature Group for $p$-Variation Rough Paths

有限群と代数構造と多様体 - 2026/9/10の論文10本

Sep 10, 2026 17 min

arXiv math.GRの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-10/ On the Hamiltonicity of generating graphs of almost simple groupsInvolutory automorphisms of finite groups of odd orderKleisli convolution representations and a Margolis--Sakurai version of the modular isomorphism problemThe spectrum of conjugator length functionsFinite presentations of metabelian groups: effective enumeration via Laurent relationsSharp bounds for intervals in finite subgroup latticesSmall undecidable groups and unrecognizable 4-manifoldsA note on idempotents in quandle ringsA nonfinitely based additively idempotent semiring that is not strongly nonfinitely based and generates a limit varietyAmenability of Lie, Group and Hopf algebras

群の構造と幾何学的性質 - 2026/9/9の論文36本

Sep 9, 2026 1 hr 2 min

arXiv math.GRの新着論文36本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-09/ Commensurability and quasi-isometry classification for one vertex one loop tubular groupsEvery Reflection Group Is NaturalShirshov's amalgamated free product and generic nilpotent groupsProperty $P_{\text{naive}}$ for non-orientable big Mapping Class GroupsA Characterisation of $N$-Free Ordered GroupsGroup having 13 cyclic subgroupsHierarchical geometry and right-angled Artin groups in graph braid groupsVirtually generating graphs of pro-$p$ groupsSubgroups of free groups with the same commutator subgroupElement Orders and Character Codegrees of Finite GroupsThe Left-Nilpotent Residual and Its Supplements in Finite Skew BracesEnumeration of orientably-regular maps with automorphism group $\PGam(2,2^p)$ for prime $p$On Natural GroupsCo-intersection graphs of nonabelian finite simple groups have diameter twoLength-generating functions for twisted involutions of Coxeter groupsBraids on the Stranded Cellular Automata ModelOn the unitary cohomology of semisimple groupsSolvable groups defined by redundant cyclic presentationsFiniteness Properties of Fibre Products over Virtually Nilpotent QuotientsOn the complement of a union of cosetsImages of word maps with constants on algebraic groupsA counterexample to Petrykowski's conjectureOn the sample complexity of the generalized hidden shift problem over arbitrary finite groupsA Note on Additive DiameterThe entropy of coclass one and of SmallGroup(729,45)KS-Groupoids and KS-Crossed Products associated with Inverse Semigroup ActionsA finite set with noncompact closed convex hull in a Hadamard spaceRepresenting a ring as the endomorphism ring of an abelian groupRepresentation and Extending structure of a Multiplicative Lie algebraAlgorithms for Finite Group Epimorphism TestingGeometric finiteness in paracomplex hyperbolic spacesResidual finiteness and cuspidal cohomology of Picard modular surfacesReplicat...

行列と群と符号と次数 - 2026/9/7の論文6本

Sep 7, 2026 10 min

arXiv math.GRの新着論文6本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-07/ An explicit non-elementary matrix over a bivariate Laurent polynomial ringThe Codegree Isomorphism Conjecture for Finite Simple GroupsOrdering, Artin--T**s group, Garside structureMedvedev degrees of SFTs on cocompact Fuchsian groupsOn multiply induced charactersOn the lengths of MDS codes with a two-transitive permutation automorphism group

群とフーリエ解析と表現論 - 2026/9/4の論文9本

Sep 4, 2026 16 min

arXiv math.GRの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-04/ On embeddings of the difference graph of the intersection power graph and the power graphOn second maximal subgroups of finite groupsOn the surjectivity conjectures of Dupont and MonodOn the reconstruction of $n$-quasigroups of order $4$ and upper bounds on their numberDivergence of decreasing rearranged Fourier series on every infinite compact abelian groupFourier Analysis and Idempotents in Quandle AlgebrasAdditive diameters and covering complexity of irreducible representationsKhovanov monodromy groups via motionsThe groups $\operatorname{SL}_2(\mathbb{F}_{13})$ and $\operatorname{SL}_2(\mathbb{F}_{19})$ are Galois over $\mathbb{Q}$

群とグラフと自己相似性と対称性 - 2026/9/3の論文8本

Sep 3, 2026 14 min

arXiv math.GRの新着論文8本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-03/ Acylindrical Hyperbolicity and Pure Conjugating Automorphisms in Graph Products of GroupsOn the Self-Similarity of Permutational Wreath Products and Their Embedding into Finitely Presented Simple GroupsThe Borovik-Cherlin conjecture holds in ACFThe binary actions of sporadic groupsAutomorphisms of Twisted Chevalley Groups of type ${}^2 A_3$ and ${}^2 A_4$ over Local RingsThe Multiorbital Bivariate Chromatic PolynomialBaumslag-Solitar Subgroups Obstruct Model Companions for Fields with Group ActionsExtremal Asymmetric Depth of Planar Graphs and Hidden Near-Mirror Symmetries of IPR Fullerenes

群とグラフと表現論と不変量 - 2026/9/2の論文13本

Sep 2, 2026 23 min

arXiv math.GRの新着論文13本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-02/ Generalized Graph Compositions with Applications to Difference Graphs of Finite GroupsHigher Massey Products in Demu\v{s}kin Variations: Support Blocks, One-Relator Reduction, and a Five-Fold Vanishing CaseTwo problems about subgroups of free groups concerning the lengths of their generatorsRelative property (T) for uniformly bounded representationsAccessible CAT$(-1)$ groups of critical exponent less than oneFinite permutation groups that act with fixity 4On commensurating graphs of pro-$\mathcal{C}$ groupsStabilizers in Coxeter groups with a transpositional actionCommon neighbour conjectures for Saxl graphs fail at every base sizeGallagher's Theorem for Real-valued Brauer CharactersProperly proximal countable measured groupoidsKazhdan's Property $(T)$ for Subspaces and Quotients of $L_p$-SpacesDepth-1 expanders on the unitary group and applications

群と代数とグラフとC*代数 - 2026/9/1の論文19本

Sep 1, 2026 32 min

arXiv math.GRの新着論文19本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-01/ Involutions in the affine Conway groupOn Some More Problems from the Kourovka NotebookDecidability of the Orbit Problem Over $\mathbb{Q}(X)$Fundamental groups of asymptotic cones of Lie groups with the SOL obstructionConjugator Lengths and Isoperimetric functionsQuasi-isometries between graphs of totally disconnected locally compact groupsCommutator identities, Lie product identities, and Multiplicative Lie algebrasBrauer character degrees and nilpotent subgroupsFinitely generated positive cones in $F_n \times \mathbb{Z}$Boundary Dynamics, Cubical Actions, and Infinite GirthLaws for triangular matricesCorrigendum to "A Characterization of the Unit Group in Z[T x C_2]"Non-MF groups and non-finite full group C*-algebrasFinite-Monoid Compression in Syntactic Concept Lattices: Arity Hierarchies and a Pseudovariety TrichotomySimplicity and pure infiniteness for $\text{C}^*$-algebras associated with stabilizers of boundary actionsRegular, and (bi-)rotary Hall Cayley mapsVertex-transitive strongly regular graphs in the switching class of doubly transitive two-graphsMorita equivalent blocks with an endotrivial source that are not globally isotypicExtensions of Hindman's theorem via finite colorings of topological groups

群と代数と位相的境界 - 2026/8/31の論文9本

Aug 31, 2026 16 min

arXiv math.GRの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-31/ Elementary divisors of the Cartan matrix for partial charactersGroups satisfying Gasch\"utz's complement theoremCycle Counting and Character Expectations Using Alternating StructuresSolvability of unimodular equations in groups and Lie algebrasMaximal subgroups of homeomorphism groupsRota---Baxter operators on extraspecial groupsOn 2-Sphere Bowditch Boundaries Attaining Conformal DimensionThe Twist Conjecture and the Isomorphism Problem for Coxeter groupsCompactifications of Abelian Group Bundles and a topological Halmos--von Neumann-type Theorem