群と環と多様体と位相 - 2026/9/23の論文29本

arXiv math.GRの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-23/ A compactness theorem for twisted-unitary elements of integral group rings, with a certified route to the theta-unitary Case A at window B(4) of the Promislow group The domain question for the Nielsen-Soelberg group rings: the commutative case, with certified ball checks Margulis-Soifer theorem for one-relator groups The universal valued Abelian groups of Niemiec are L\'{e}vy, strongly exotic, extremely amenable, and $\mathbb{G}_r(0)$ is generically monothetic A note on maximal subgroups of countable groups On the measure of definable sets in profinite groups The finite basis problem for all subvarieties of the variety $\mathsf{V}(S^0_7)$ The unique limit subvariety of the max-plus variety and finite basis properties Smallest quotients and profinite rigidity of irreducible spherical type Artin groups Nonfinitely based intervals of power semiring varieties On the index map for AF-by-discrete groupoids Finite Soluble Groups Need Not Admit Increasing Unrefinable Subgroup Chains Word Length and Diameter in Permutation Groups Finite bases and joins for semirings defined by the divisibility order Finite Bases for Truncated Cyclic Group Flat Semirings with Two Independent Parameters Refining invariants of finite groups with class functions A Counterexample to a Conjecture of Moreto Nonabelian Torus Exteriors in $\mathbb S^4$ and Torus Replacement in Four-Manifolds The unique extremal threemodular lattice of rank 26, the generalized hexagon $(2,8)$, and the tight Cayley-plane $5$-design Solvability of isotropic $ \mathrm{K}_1 $-functor over semilocal rings Product subcomplexes and intersection complexes of weakly special square complexes 4-manifold topology and collision rank of groups On the generation of multiplicative groups by small primes On inversion sets of joins in weak Bruhat order Structural Characterizations and Algebraic Realizations of a Family of Regular Integral Graphs Resultant of an equivariant polynomial system with respect to a direct product of $r$ symmetric groups Non-determinism in group actions and topological minimal self-joinings An ICC group with property (T) that is not properly proximal The existence and uniqueness of magic-faced hypercubes, and applic