プレプリどんどん: math.GR

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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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複雑な群と代数的な性質 - 2026/11/10の論文26本
Yesterday at 5:00 AM

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...


群表現と双曲性と閾値 - 2026/11/9の論文12本
Last Monday at 5:00 AM

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 T...


群とグラフと対称性の探求 - 2026/11/6の論文9本
Last Friday at 5:00 AM

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
Last Thursday at 5:00 AM

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
11/04/2026

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...


構造と表現と集合の解析 - 2026/11/3の論文29本
11/03/2026

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 ordersDigit...


群の構造と計算の限界 - 2026/11/2の論文11本
11/02/2026

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
10/30/2026

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...


グラフと群の代数的幾何学 - 2026/10/28の論文16本
10/28/2026

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 co...


Cayleyグラフと代数構造の解析 - 2026/10/27の論文25本
10/27/2026

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_Quad...


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

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 Qu


群と捩れと軌道とコセット - 2026/10/23の論文9本
10/23/2026

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
10/22/2026

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
10/21/2026

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 w...


双曲群とソフィック性と1関係群 - 2026/10/20の論文22本
10/20/2026

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...


群と環と幾何学の構造的性質 - 2026/10/19の論文14本
10/19/2026

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...


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
10/16/2026

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...


特殊な群と代数的な制約 - 2026/10/15の論文17本
10/15/2026

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, Legendr...


構造と作用の多様性 - 2026/10/14の論文44本
10/14/2026

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...


有限群のCayleyグラフと構造 - 2026/10/12の論文15本
10/12/2026

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...


格子と半環と群の多様な性質 - 2026/10/9の論文22本
10/09/2026

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 Tits 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 semirings...


Brin--Thompson群とHypertopesの対称性 - 2026/10/8の論文13本
10/08/2026

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 representati...


モノイドと群の構造と計算量 - 2026/10/7の論文13本
10/07/2026

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 t...


ラティスとグラフと剛性 - 2026/10/6の論文21本
10/06/2026

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...


超群と構造と幾何学と剰余 - 2026/10/5の論文12本
10/05/2026

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 o...


群と有限と代数とグラフ - 2026/10/2の論文15本
10/02/2026

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 I...


群と代数とスペクトル - 2026/10/1の論文16本
10/01/2026

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 s...


生成と欠陥とモジュール - 2026/9/30の論文17本
09/30/2026

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 LeanS...


有限群と半群と代数と表現 - 2026/9/29の論文26本
09/29/2026

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 T...


双曲群作用とワード問題と算術格子 - 2026/9/28の論文7本
09/28/2026

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
09/25/2026

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...


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
09/24/2026

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...


群と環と多様体と位相 - 2026/9/23の論文29本
09/23/2026

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 $\...


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
09/22/2026

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 ha...


群と幾何学と位相的構造 - 2026/9/21の論文10本
09/21/2026

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
09/18/2026

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 c


群と幾何学と代数構造 - 2026/9/17の論文9本
09/17/2026

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
09/16/2026

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 iso...


群と環と代数構造の性質 - 2026/9/15の論文18本
09/15/2026

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 Tits 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 an...


群の構造と特性と代数的性質 - 2026/9/14の論文10本
09/14/2026

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 group