59 citations · 207 across the 25 of their papers we have counts for
26 papers
On computing the closures of solvable permutation groups
Ilia Ponomarenko, Andrey V. Vasil'ev
Let be an integer. It is proved that the -closure of a given solvable permutation group of degree can be constructed in time .
On -index extremal groups
Andrey V. Vasil'ev, Ilya B. Gorshkov
The question on connection between the structure of a finite group and the properties of the indices of elements of has been a popular research topic for many years. The $p…
On embedding theorems for -subgroups
Wenbin Guo, Danila O. Revin, Andrey V. Vasil'ev
Let be a class of finite groups closed under subgroups, homomorphic images, and extensions. We study the question which goes back to the lectures of H. Wielandt in 1…
Criterion of nonsolvability of a finite group and recognition of direct squares of simple groups
Zh. Wang, A. V. Vasil'ev, M. A. Grechkoseeva +1
The spectrum of a finite group is the set of orders of its elements. The following sufficient criterion of nonsolvability is proved: if among the prime divisors of the o…
On Cayley representations of central Cayley graphs over almost simple groups
Jin Guo, Wenbin Guo, Grigory Ryabov +1
A Cayley graph over a group is said to be central if its connection set is a normal subset of . We prove that every central Cayley graph over a simple group has at most…
Finite groups isospectral to simple groups
Maria A. Grechkoseeva, Victor D. Mazurov, Wujie Shi +2
The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectr…