A. V. Vasil'ev

activity

20242026

collaborators

3 papers

math.GR2026

Recognition by element orders for simple linear and unitary groups

Maria A. Grechkoseeva, Alexey M. Staroletov, Andrey V. Vasil'ev

For a finite group $G$ , let $ω (G)$ be the set of element orders of $G$ and let $h (G)$ be the number of pairwise nonisomorphic finite groups $H$ with $ω (H) = ω (G)$ . We say that the re…

math.GR2025

Relatively closed subgroups of permutation groups with a cyclic regular normal subgroup

Alexander Buturlakin, Andrey V. Vasil'ev

Motivated by some known problems concerning combinatorial structures associated with finite one-dimensional affine permutation groups, we study subgroups which are closed in $\oper…

math.GR2024

On finite groups isospectral to groups with abelian Sylow $2$ -subgroups

M. A. Grechkoseeva, A. V. Vasil'ev

The spectrum of a finite group is the set of orders of its elements. We are concerned with finite groups having the same spectrum as a direct product of nonabelian simple groups wi…

Recognition by element orders for simple linear and unitary groups

Relatively closed subgroups of permutation groups with a cyclic regular normal subgroup

On finite groups isospectral to groups with abelian Sylow 2-subgroups

On finite groups isospectral to groups with abelian Sylow $2$ -subgroups