カクタス群とトンプソンの群とメディアン空間 - 2026/10/21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/2026-10-21/ On $c$-Normal Maximal Chains of Sylow Subgroups in Finite Groups Quantum polynomial-time conjugacy in metabelian groups Ordered frequency in relatively hyperbolic groups Linear $2$-Group Actions With Exactly One Regular Orbit Maximal ranks of free abelian subgroups of generalized cactus groups associated with finite Coxeter systems Classification of finite subgroups of generalized cactus groups Finite groups with large sum of element orders compared to cyclic groups Thompson's group $F$ is not weakly amenable Wielandt subgroups of nilpotent residuals and Fitting-height bounds Determinant characters and multiplicative solubility of finite skew braces Galois Groups of Shifted Exponential Polynomials Median spaces with the strict separation property and superrigidity of actions Elements of the Green ring related to Alperin's weight conjecture Random $C^*$-subalgebras C*-selflessness and $\mathcal{Z}$-stability for Thompson's group $F$