Finite groups whose maximal subgroups have only soluble proper subgroups
Group Theory
2021-12-20 v1
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.
Cite
@article{arxiv.2112.09317,
title = {Finite groups whose maximal subgroups have only soluble proper subgroups},
author = {Daria Lytkina and Archil Zhurtov},
journal= {arXiv preprint arXiv:2112.09317},
year = {2021}
}