On some second maximal subgroups of non-solvable groups

Year 2023, , 367 - 373, 31.03.2023

Yuyun Wang Long Miao Wei Liu

https://doi.org/10.15672/hujms.1106486

Abstract

We call a group $G$ belongs to the class of groups $S_{p}'$, if for every $pd$-chief factor $A/B$ of $G$, $((A/B)_{p})'=1$. In this paper, we investigate the influence of some second maximal subgroups which are related to non-$c_{p}$-normal maximal subgroups on the structure of $S_{p}'$.

Keywords

second maximal subgroups, maximal subgroups, simple groups, non-solvable groups, $c_{p}$-normal.

Supporting Institution

NSFC， NSFC-RFBR

Project Number

Grant \# 11871062，Grant \# 12011530061

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