On strictly 2-maximal subgroups of finite groups

TL;DR

This paper explores the properties and existence of strictly 2-maximal subgroups in finite groups, providing new corollaries and illustrative examples based on recent research results.

Contribution

It offers new corollaries about strictly 2-maximal subgroups and presents examples illustrating their properties in finite groups.

Findings

Corollaries on the existence of strictly 2-maximal subgroups

Examples demonstrating properties of these subgroups

Connections to recent research by Meng and Guo

Abstract

We conclude from the results of Hanguang Meng and Xiuyun Guo some corollaries about the existence of strictly 2-maximal subgroups in groups. We give examples of groups that illustrate properties of strictly 2-maximal subgroups.