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arXivのmath.GR (群論) の新着論文の概要をAIで日本語でお届けするポッドキャストです。
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arXivのmath.GR (群論) の新着論文の概要をAIで日本語でお届けするポッドキャストです。
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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/2026-08-28/ A Determination of $B$-groups of Order $p^4$Classification of Group ExtensionsThe Hurwitz Action in the Affine Symmetric GroupKleisli convolution representations of power monoidsA $\sigma$-McKay theorem for $\pi$-separable groupsReal ideal points, Conway spheres, and left-orderable Dehn fillingsA Centroid Framework for Operator-Valued Haagerup InequalitiesAround the Andreadakis-Johnson filtrationMapping class groups have a unique Polish group structureOn some aspects of discrete groups actin
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/2026-08-27/ Complete Mappings of SemigroupsWord length, Morse theory, and Vietoris-Rips complexesAsymptotic enumeration of minimally transitive permutation groupsA note on normal generation and the first $\ell^2$-betti numberA condition of admissibility for generalized Alexander quandlesZeta renormalization and pressure at infinity for an infinitely cusped tree latticeThe kernel of the Birman-Craggs-Johnson homomorphismLinear isoperimetric filling inequalities in Hadamard spaces at and above the asymptot
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/2026-08-26/ Continuous Mal'cev Qp-Completion of Pro-p GroupsNilpotent groups with Dehn function $n^2 \log n$Contractible Rips complexes of groups via metric gluingsStandard bases for shift-stable groups and Subgroup Membership in wreath productsComplexity and Polishability of characterized subgroups on the unit circleThe Cofree Functor on G-Sets and Its ApproximationsRelative Biexactness for Relative Hyperbolic Groups and Some ApplicationsWarped cones associated to isometric free actions do not have geo
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/2026-08-25/ The stable commutator length of a relator is not a one-relator group invariantSplittability, non-splittability, and automatic splittability of metacyclic $p$-groupsAspherical $PD_4$-pairsDeflation map and the sum of inverses of the element orders in finite groupsThe General Subgroup Permanental-Dominance Conjecture in Order FourPolynomial permutation stability, soficity, and universal polynomial groupsOn injective endomorphisms of the semigroup $\boldsymbol{B}_{\omega}^{\mathscr{F}^4}$ with
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/2026-08-24/ A generalized monoid of infinite words: asymptotic prefix-suffix quotients and algebraic structureFree Burnside groups of large odd exponent have cost 1Sharp Asymptotics for Abelian Covers of Groups with Bounded NoncommutativityA characterization of the reversibility of linear cellular automataA probabilistic approach to the Yang--Baxter equation and skew bracesGroup-product rigidity and Higman-Thompson reassociation groupsAdditive Decompositions by Conjugacy Classes in $M_n(\mathbb{F}_q)$Ran
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/2026-08-21/ Constructing solvable groups whose character degree graphs generalize the bowtieProducts of nonconjugate maximal subgroupsModules with few Jordan blocks for rank $1$ groups of Lie type and related groupsInternal numerical semigroupsConnective constants of Grigorchuk graphsConvex cocompact right-angled Gromov-Thurston polyhedraOrbit equivalence and total weak mixing of free group actionsTwo results on asphericity
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/2026-08-20/ Characterization of Weak EKR Groups and Intersection Densities with Prescribed Point StabilizersA note on the reflexibility of regular maps with automorphism group PGL(2,q)On the representation dimension of finite $p$-groupsThe number of groups of cubefree orderOn $\textbf{u}$-substitutions for group presentationsProducts of trees and ${\rm PGL}_2$-torsors over the punctured affine lineGrowth gaps and generating setsThe structure and generation of the second maximal subgroups of the almost s
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/2026-08-19/ On the independence of permutation charactersHyperbolic models and stability recognition for Coxeter groupsEvery copy of Thompson's group $F$ in $F$ is undistortedSmall Cancellation Stability and Isomorphism Rigidity for Generic Finitely Presented GroupsThe Wallace problem and countably compact torsion-free Abelian groups in ZFCThere are no sharply transitive subsets of $\mathrm{SL}(2,q)$ for $q\ge 13$Total 3-closure for projective special linear groupsThompson's Conjecture for Finite Simple
arXiv math.GRの新着論文24本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-18/ Hyperfiniteness of boundary actions via tree decompositionsTopological perspectives on the vanishing of some Bogomolov multipliersBrauer-Fowler Bounds for Elements of Odd Prime OrderThe Lower Central Series of Right Lower-Triangular Nielsen Automorphism GroupsLie methods for countably categorical Engel groups: the Wilson conjecture for $4$-Engel $5$-groupsOn intersections of locally quasiconvex subgroupsThe finite basis problem for the power semirings of finite groupsA nonabelian Brunn-Minko
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/2026-08-17/ A Note on the FC-Center of Thompson's Group $F$Pure braid groups are RFRSMixed identities for simple locally finite groupsThe Exact Completion of the Category of Polish GroupsSplitting fields and spectral invariants of character degree graphs in solvable groupsThe inverse Galois problem of iterated Galois groups and their fixed-point proportion
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/2026-08-14/ Generation of finite groups from subgroups of coprime indexThe fusion-stable tom Dieck homomorphismComponents of the Divisibility Graph of Finite Groups of Lie Type in Defining Characteristic $2$Commuting pairs in symplectic Lie algebras over finite fields of characteristic twoOn minimal involutive generic sets of Extended Special Linear group $ESL_n(\mathbb{F}_p)$Arithmetic invariants for finite simple and related groupsSynthetic Buildings for Finite GroupsCyclic Shuffle Groups: Universal T
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/2026-08-13/ A Proof of Gluck's ConjectureNotes on $K^{\infty}Lifting Functors and Relative Schur-Baer TheoremsHyperbolicity and obstructions to PL actions of the circleNielsen classes in outer automorphism groups of free groupsBruhat decompositions of operator algebrasWhirliness beyond amenabilityKakeya sets and dimension compression in compact Lie groupsOn $2$-blocks with quaternion defect groupsWord-Length Spectral Triples of $(\mathbb{Z}/2\mathbb{Z})\wr\mathbb{F}_{d}$ Are Not MetricTame Topological G
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/2026-08-12/ Two new functions related to the sum of element orders of a finite groupOn a divisibility condition related to the sum of element orders of a finite groupNormality of Relative Elementary Tranvection GroupsA simple acylindrical recipe for non-split characteristic $2$ sharply $k$-transitive actions and their generalizationsQuasirandomness and Uniform Twin-WidthConjugacy languages in free inverse monoidsA canonical section method for conjugacy classes of GL_n(O_2)Torsion in asymptotic cones of
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/2026-08-11/ Presentations of the cactus Thompson groupVanishing of $\ell^2$-Betti numbers for inner amenable groupsNormal-Core Compression for Units in Burnside RingsThe conjugacy problem in cyclic extensions of one-ended hyperbolic groupsDetecting solvability, supersolvability and CLT properties via an invariant based on conjugacy classes of subgroupsAn observation on factorizations of finite groupsCommuting Graph of Unitriangular Group UT(4; p)From algebraic orthogonality to RAAG embedding obstruction
arXiv math.GRの新着論文5本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-10/ Cross varieties of aperiodic monoidsA Brown Theorem for Dehn functions of graphs of groupsA Finite E-Group of Nilpotency Class ThreeProfinite rigidity in lattices of $\mathrm{PSL}(2,\mathbb{C})$The noncommutative topological factor theorem for rank-one product lattices
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/2026-08-07/ Topological Characterizations of Geometrically Infinite Convergence Group Actions and Orbit Uniform MetricsCentralizers of sofic approximations of Kazhdan groupsInverse ambiguous maps on infinite groupsNonsofic wreath products of residually finite groupsBeyond transversality: structure of Clifford circuits for CSS codesNoncrossing Combinatorics, the Full Twist, and Decategorification of Knot InvariantsMinimal Cayley graphs with large chromatic number
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/2026-08-06/ Locally Solvable Radicals via Wilson Radical Sets and Subgroup LatticesThe geometry of triples of antipodal ideal chambers of affine buildingsThe word problem for two-generator one-relator inverse monoidsOn a theorem of DicksonNear-Rings and Skew BracesZariski density of discrete subgroups via critical exponents and unitary representationsSparse Random Covers and Growth of Torsion in First HomologyBond thickenings of the simplicial boundary of Outer spaceGradings by cyclic groups on classica
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/2026-08-05/ Finite groups that are the product of every pair of non-conjugate maximal subgroups are solubleHigman in balls: the mod-2 dichotomy for integral units of the Promislow groupThe solution to Kourovka problem 21.88Cyclic-by-abelian counterexamples to the second and third Zassenhaus conjecturesA torsion-free group of nilpotency class six with all subgroups subnormal of defect at most $5$Finite direct-product quotients and uniform Kazhdan constantsThe Dehn function of $V$ is at most sexticThe str
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/2026-08-04/ The one-sided unit count of F_2[P] at radius four, and an integral separation theoremNear optimal spectral gaps for line bundles on hyperbolic three-manifoldsA Negative Answer to Question 17.102 in The Kourovka NotebookAlternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order ElementsUniform expansion in finite groups of Lie typeThe \c{S}i\c{s} Kebap Theorem: A Generic Identification Theorem for Groups of Finite Morley RankOn context-free subgroups and R. Thompson
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/2026-08-03/ On transversality in flag manifolds and linearity of amalgamsPiecewise isometry groups of Euclidean tessellationsFinding 59:29 in the MonsterThe N-Prime Graph Question is equivalent to the Prime Graph QuestionFitting's Theorem and Semirings of Normal SubgroupsThe Basilica group of the Grigorchuk-Erschler groupOn the number of $g$-dimonoids of small orderNormalizers of lattices and isometry groups of arithmetic hyperbolic manifoldsStrongly converging unitary representations for extensions by e
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/2026-07-31/ The Monster group is a completion of the Goldschmidt G3-amalgamCentralizer Excess as an Obstruction to Carlson's Depth ConjecturePolynomial Maps with Constants over Division Algebras and the Generalized Kaplansky--L'vov ConjectureComponents in characteristic $p$ and Quillen's conjectureCentralizers and classifying spaces for commutativity of $SL_2(\mathbb{Z}[1/p])$Constructing linear codes from digraphs and groupsMixed-identity-freeness and primitivity of group ringsThompson's Group $V$ and V
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/2026-07-30/ Stallings foldings for rational subsets of automatic groupsNear full groups of bounded type, \rom{2}Automorphism-invariant refinements of weakly branch actions via overlap functionsOn the Glauberman-Solomon TheoremVanishing elements of prime power order and their class size propertyLearning the Word Problem: Geodesic Lengths and Cryptographic ApplicationsSome results on NIP groups and their Ellis groupsOn essential freeness of actions of mixed identity-free groupsA topological interpretation
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/2026-07-29/ A cube complex for virtual Artin groupsSublinear projection tracking in acylindrically hyperbolic groupsGrowth gaps and exponential genericity in acylindrically hyperbolic groupsNear full groups of bounded type, \rom{1}Ends of Uncountable Locally Finite Groups: An Analytic and Coarse Geometric ApproachExtremal Chowla sets and their linear analogues: A human-AI mathematical investigation using Co-ScientistQuiver data of representations of Hecke algebras and Coxeter groupsRaikov Remainders of
arXiv math.GRの新着論文20本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-28/ A Counterexample to Byott's Conjecture for Finite Skew BracesA note on simple actions of small monoidsAutomorphisms of Bestvina-Brady Groups: IA Rigidity, Arithmetic Commensurability, and FinitenessAn infinite family of counterexamples to the Polycirculant ConjectureMachine-checkable equivalence certificates at the length-14 Andrews-Curtis frontierSequence distortion for metric spacesAn Exact Counterexample to Carlson's Associated-Prime Depth Conjecture from a Group of Order 128Free-by-cycli
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/2026-07-27/ A phase transition in the directional growth of lamplighter groupsFiniteness properties and Higman's rope trickGenerating simple vigorous groupsAutomorphisms of Twisted Chevalley Groups of type ${}^2 A_\ell \ (\ell \geq 5)$ over Local RingsIsomorphisms and automorphisms of graph products of groupsClique complexes of groups and order sheavesQuotients of mosaics and related hyperstructuresDistortion in the group of locally monotone homeomorphisms of a Cantor set and in the group of generalized
