PreprintarXiv licencearXiv
On second maximal subgroups of finite groups
Abstract
A second maximal subgroup of a finite group G is a subgroup H that is maximal in every maximal overgroup of H in G. We prove that every maximal subgroup of a prime-index subgroup of a finite group is a second maximal subgroup.
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BibTeX
@misc{burness2026second,
title = {{On second maximal subgroups of finite groups}},
author = {Timothy C. Burness and Hangyang Meng},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.03911},
eprint = {2609.03911},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.03911},
}
RIS
TY - UNPB
TI - On second maximal subgroups of finite groups
AU - Timothy C. Burness
AU - Hangyang Meng
PY - 2026
DA - 2026/09/03
PB - arXiv
DO - 10.48550/arxiv.2609.03911
UR - https://arxiv.org/abs/2609.03911
AB - A second maximal subgroup of a finite group G is a subgroup H that is maximal in every maximal overgroup of H in G. We prove that every maximal subgroup of a prime-index subgroup of a finite group is a second maximal subgroup.
ER -