9 citations · 13 across the 4 of their papers we have counts for
4 papers
On finite groups isospectral to groups with abelian Sylow -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…
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 element orders in covers of and
Mariya A. Grechkoseeva, Saveliy V. Skresanov
Suppose that is one of the finite simple groups or and acts on a vector space over a field whose characteristic divides . We prove that the nat…
On the nilpotency of the solvable radical of a finite group isospectral to a simple group
Nanying Yang, Mariya A. Grechkoseeva, Andrey V. Vasil'ev
We refer to the set of the orders of elements of a finite group as its spectrum and say that groups are isospectral if their spectra coincide. We prove that with the only specific…