モノイドと群の構造と計算量 - 2026/10/7の論文13本

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 algebra Boundary Algorithms for Thompson Groups On weak commutativity between $n$ isomorphic groups, $n \geq 2$ From stylic monoid to Catalan monoid Testing epimorphism onto the bicyclic monoid is $\mathsf{NP}$-complete Cayley graph diameters for fixed cycle types are eventually quasipolynomial Counterexamples to the continuous Aldous-Lyons conjecture Abelian quotients and the largest orbit sizes of linear groups of odd order Irreducibility of Endomorphisms of Finitely Generated Free Semigroups On open covers of aspherical spaces satisfying $\pi_1$-constraints and bounded Adamson cohomology Representations of the infinite Cuntz algebra Counterexamples to Hardy--Littlewood maximal inequalities on solvable groups Almost Tight Bounds for Isomorphism Testing and Basis Construction in Finite Abelian Groups