格子と半環と群の多様な性質 - 2026/10/9の論文22本

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 groups Local Presentations of Groups: Completion and Smith's Conjecture Infinite girth and profinite properties of residually finite groups Almost all finite groups are $2$-groups of class two Uniform small cancellation in torsion-free hyperbolic groups Conjugacy problems in higher-dimensional Thompson groups Finite index rigidity of free-by-cyclic groups A generalization of the sum of element orders function Idempotence criteria for lazy cellular automata Finite bases for Brandt semirings and naturally semilattice-ordered inverse semigroups Self measurable embeddings of mapping class groups Group maps on initial intervals Mal'cev products of rings satisfying $x^n\approx x$ and idempotent semirings A proof of the Galt--Tyutyanov conjecture on Skiba's question Ordinary $G$-permutable subgroups of finite simple groups Condensed Whitehead Problem Reciprocity for projective and injective direct summands Bounded cohomology of transformation groups in all degrees Weak and genuine A_n-formality for number fields Noncrossing combinatorics of quasi-Coxeter elements Higher-rank local mixing for cusped positive representations Coloring graphs of homologous spheres