群とグラフと代数とランダム - 2026/10/30の論文27本

arXiv math.GRの新着論文27本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-30/ Simple Torsion-Free Linear Groups from Global Division Algebras Quasiisometric embeddings of right-angled Artin groups into products On isomorphisms of tetravalent Cayley graphs over generalized quaternion groups Transfer kernels and the Schur multiplier Vietoris-Rips complexes of affine Coxeter groups Random Non-Commutative Error-Correcting Codes Number of ends of conjugacy diagrams Grothendieck Pairs, Functors and Profinite Invariants Complete regular dessins and non-metacyclic bicyclic 2-groups with cyclic commutator subgroup Subindices of two-element subsets of finite groups Epimorphism testing with dihedral targets Random semigroups \'a la Gromov Large Ree groups acting point and line-primitively on finite generalised quadrangles On $\kappa$-existentially closed groups with few automorphisms Discrete hermitian groups are FC-hypercentral Lie (super)algebras generated by reflections in finite reflection groups of exceptional type Maximal regular subsemigroups containing the group of units of transformation semigroups that preserve a uniform equivalence relation with two classes On a Conjecture of Fiedorowicz Primitive flag-transitive generalized quadrangles Extended weak order in all rank three Coxeter groups Invariant means, coset correct means and the Hahn-Banach Theorem Large deviations for random walks generated by countable groups: a unified approach Every group is the automorphism group of a set-theoretic solution of the Yang--Baxter equation Stopping Rules and the Poisson Boundary of Random Walks on Countable Groups Inner $\mathrm{C}^{\ast}$-Selfless Groups Presentations for sisters of one-cusped Picard modular groups An Adian-Rabin theorem for quantum automorphism groups of graphs