Orbits of p-Nilpotent Group Actions for Small Primes arXiv:2610.30952 Short curves in homogeneous spaces of the unitary group for unitaril... arXiv:2610.31535

Automorphisms of Twisted Chevalley Groups over Commutative Rings arXiv:2610.30314 On a finite group in which every non-nilpotent maximal invariant sub... arXiv:2610.30653 On the generation of the symmetric group by index relations of three... arXiv:2610.30892

The Diophantine Problem with constraints in some free-by-cyclic groups arXiv:2610.29831

Kobayashi's problem for power semigroups of inverse semigroups arXiv:2610.29525 The Conjugacy Problem for Recursively Presented Virtually Soluble Gr... arXiv:2610.29563 On unit groups of purely infinite rings arXiv:2610.29712

Outer automorphisms of HNN extensions of abelian groups arXiv:2610.28750 On Finite Groups with Element Order Set of Width 3 arXiv:2610.29004 The first \ell^2-Betti number, cost and rank gradient of few-relator... arXiv:2610.29502

Determinant characters and multiplicative solubility of finite skew ... arXiv:2610.28420

Finite groups with large sum of element orders compared to cyclic gr... arXiv:2610.27846 Thompson's group F is not weakly amenable arXiv:2610.27932 Wielandt subgroups of nilpotent residuals and Fitting-height bounds arXiv:2610.28082

Linear 2-Group Actions With Exactly One Regular Orbit arXiv:2610.27536 Maximal ranks of free abelian subgroups of generalized cactus groups... arXiv:2610.27716 Classification of finite subgroups of generalized cactus groups arXiv:2610.27721

On c-Normal Maximal Chains of Sylow Subgroups in Finite Groups arXiv:2610.26968 Quantum polynomial-time conjugacy in metabelian groups arXiv:2610.27250 Ordered frequency in relatively hyperbolic groups arXiv:2610.27268

On Huppert's \rho-\sigma conjecture for primes in the orders of elem... arXiv:2610.25571 Linear Group Actions with Exactly One Regular Orbit arXiv:2610.25737 Property RD and boundary representations]{Property RD for \widetilde... arXiv:2610.26506

Model Theory and Algorithms for One-Relator Groups arXiv:2610.25305 Thompson's groups are sofic arXiv:2610.25415 On quandles with isomorphic enveloping groups arXiv:2610.25536

Lambda number of the reduced power graph of finite groups arXiv:2610.25028 A characterization of finite modular 2-groups via magnitude homology arXiv:2610.25030 On the isoperimetric profile in infinite dimensional pro-Lie groups arXiv:2610.25088

An explicit section of the Laudenbach-type exact sequence of the big... arXiv:2610.24912 On the strong domination relation of order sequences for some group ... arXiv:2610.24950 The locally quaternion group is a countable B-group arXiv:2610.25022

The prime graph complements of \mathcal{A}_{11}- and \mathcal{A}_{13... arXiv:2610.24325 The Siemons--Wagner property and Bradley's conjecture arXiv:2610.24502 An example of a non-sofic hyperbolic group arXiv:2610.24836

Two-generator presentations with a relation gap arXiv:2610.23637

Finite power image families and automorphism actions in linear groups arXiv:2610.23373 Charmenability of twin building lattices arXiv:2610.23424 Subvariety intervals and limit varieties of zero extensions of mirro... arXiv:2610.23478

Comparing word probabilities in finite groups arXiv:2610.23100 On the residual polynilpotence of tree products of groups with local... arXiv:2610.23126 Derivations of Lie p-rings with applications on ring extensions and ... arXiv:2610.23370

Eventual Exactness and Rigidity for Abelian Covers of Groups arXiv:2610.22388 Failure of direct finiteness for group algebras in every odd charact... arXiv:2610.22536 The Diophantine Problem in Wreath Products of Groups arXiv:2610.22719

Automorphisms of triality groups over local rings arXiv:2610.21662 Only their cardinality can prevent groups from being quotients of we... arXiv:2610.21727 Locally indicable groups outside Brodski\u{i}'s quasivariety arXiv:2610.22121

Automorphisms of twisted Chevalley groups of type {}^2E_6 over local... arXiv:2610.20994 A simultaneous variant of the Hall-Paige theorem and applications arXiv:2610.21600 Two-element factors and finite bases for additively idempotent semir... arXiv:2610.21605