Indices of non-supersolvable maximal subgroups in finite groups
Group Theory
2025-04-21 v2
Abstract
Two classic results, due to K. Doerk and P. Hall respectively, establish the solvability of those finite groups all of whose maximal subgroups are supersolvable, and the solvability of finite groups in which all maximal subgroups have prime or squared prime index. In this note we describe the structure of the non-solvable finite groups whose maximal subgroups are either supersolvable or have prime or squared prime index.
Cite
@article{arxiv.2501.04537,
title = {Indices of non-supersolvable maximal subgroups in finite groups},
author = {Antonio Beltrán and Changguo Shao},
journal= {arXiv preprint arXiv:2501.04537},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:2402.18413