有限群と半群と代数と表現 - 2026/9/29の論文26本

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 order Detecting divisibility in uniquely divisible $\mathfrak{N}$-semigroups via homomorphisms to $\mathbb{R}_{>0}$ The finite basis problem for additively idempotent semirings of order four, IV The finite basis problem for $2\times 2$ triangular Boolean matrix semirings and incidence semirings Matrix varieties over $S_7$: dimension-three stability and continuum-sized subvariety intervals Bandwidth limited functions on locally compact abelian groups Maximal subgroups of topological full groups arising from factor maps and subgroupoids The Conway-Parker algebra and the largest Fischer group A Reduction Theorem for the Alperin-McKay-Navarro Conjecture Analytic, geometric and measured aspects of lamplighter-like groups Finite-valued invariant metrics and a classification of natural groups Mazurov's question on fixed points of automorphisms of free Burnside groups On 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 maps The lattice of varieties of semigroups with completely regular square. II Bounded-orbit lattice representations of finite groups Green languages and growth of free inverse monoids Free abelian quotients of commensurators Classification of finite left-simple skew braces On the number of $\ell$-regular conjugacy classes Finiteness 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 line The fields generated by character values of linear and unitary groups Multiplicativity of the weak Haagerup constant Gr\"{u}n's Lemma for Semiassociative Mal'cev Algebras Unique equivariant pseudo expectation and generalized Powers averaging for crossed product