most citedCriterion of nonsolvability of a finite group and recognition of direct squares of simple groups

3 citations · 3 across the 2 of their papers we have counts for

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2 papers

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…

math.GR2021

Finite groups whose maximal subgroups have only soluble proper subgroups

Daria Lytkina, Archil Zhurtov

We give a description of a finite group whose maximal subgroups possess only soluble proper subgroups, which implies the answer to the well-known question on composition factors of…