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math.GR2022★ 1 cited
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…
math.GR2022★ 3 cited
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…