群とモノイドと代数的構造の解析 - 2026/7/28の論文20本

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-cyclic groups are not relatively profinitely rigidPro-$\mathcal{C}$ groups acting on profinite treesBrauer Relations for Symmetric Groups: Young--Wreath Quotients and the n-Cycle Mark ObstructionThe Diophantine problem in the Baumslag-Gersten groupA Deligne complex for virtual Artin groupsThe $K(\pi, 1)$ conjecture for Artin groups of spherical typeFusion Systems on Sylow $3$-subgroups of Fischer and Monster sporadic groups -- IIOn the Frobenius Number of Quotients of Numerical SemigroupsOn the automorphisms of numerical power monoidsMultivariate growth series of graph products of groupsContinuous solutions of the complex Kac--Bernstein functional equation on the integers and the real numbersNamikawa--Weyl groups of symplectic quotient singularitiesResidual coherentization of balanced residuated partially ordered semigroups