群と有限と代数とグラフ - 2026/10/2の論文15本

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-$p$ Groups A note on the non-abelian tensor squares of linear groups Finite Non-$p$-Groups with 5 Automorphism Orbits A one-sided Auslander--Lyndon theorem Watkins's conjecture holds for all infinite groups Tilings of symmetric and alternating groups by conjugacy classes Finite abelian groups are Schur multipliers of finite solvable groups Finite bases for full power semirings of finite nilpotent semigroups A power-commutator presentation for the group of truncated polynomials under substitution Rotational Trajectory Synopsis Groups Finite Orders of Products of Two Class Transpositions Divide 840 Dimension subrings of Lie rings Prime Graphs of Infinite Groups Beyond odd characteristic: Faster isomorphism testing of 2-groups of Frattini class 2 Infinite free pro-p products as absolute Galois groups