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arXiv · 2609.03911

On second maximal subgroups of finite groups

Timothy C. Burness·Hangyang Meng
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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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Timothy C. Burness, Hangyang Meng. 2026-09-03. On second maximal subgroups of finite groups. https://arxiv.org/abs/2609.03911

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