グラフと群の代数的幾何学 - 2026/10/28の論文16本

arXiv math.GRの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-28/ Minimal Alt(6)-modules with additive dimension on characteristic non 3 The Andreadakis conjecture Degree-one cohomology of metacyclic $2$-groups: a low-bit dichotomy Failure of the congruence Hasse principle for commutators in orientable surface groups On $\pi$-nilpotencies of finite skew braces Irrationality of the conjugacy growth on Heisenberg groups Representation and abelianization growth, particularly along expanding sequences On a problem of A. N. Skiba and L. A. Shemetkov concerning $S_n$-closed subformations of a one-generated formation Algebraic fiberings of right-angled Coxeter groups on bipartite cone graphs On Hamilton cycles in quasiprimitive graphs of order $2pq$ A new infinite family of covers of complete graphs that admit a half-transitive action of a Suzuki simple group Recognizing convergence actions as proper isometric actions on hyperbolic spaces Filling knots and essential geodesic systole Realizing graph automorphisms as geometric symmetries of straight line drawings Non-split groups of Lie type and iSchur algebras with unequal parameters Rank functions, $\mathbb{Z}_p$-extensions and class numbers