Finite groups whose maximal subgroups have only soluble proper subgroups

2021/12/17 by Lytkina, Daria, Zhurtov, Archil
#20E28 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2112.09317

Abstract

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 finite groups, whose second maximal subgroups are soluble.

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