群と表現と安定性と剛性 - 2026/8/19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/2026-08-19/On the independence of permutation charactersHyperbolic models and stability recognition for Coxeter groupsEvery copy of Thompson's group $F$ in $F$ is undistortedSmall Cancellation Stability and Isomorphism Rigidity for Generic Finitely Presented GroupsThe Wallace problem and countably compact torsion-free Abelian groups in ZFCThere are no sharply transitive subsets of $\mathrm{SL}(2,q)$ for $q\ge 13$Total 3-closure for projective special linear groupsThompson's Conjecture for Finite Simple Groups of Lie Type over Small FieldsNon-orientable representation spheresOn The Eaton-Moret\'o Conjecture for Principal Blocks of Finite GroupsSimplicity of reduced crossed productsNilpotency of locally isotropic $ \mathrm{K}_1 $-functorAffine Dual Braid Monoids: Finite Cores, Exceptional Cluster Complexes, and Koszul ResolutionsOn the $p$-rationality of Deligne--Lusztig charactersThe critical exponent of the Falconer functional for Anosov representations