On some second maximal subgroups of non-solvable groups

Authors : Yuyun WANG, Long MİAO, Wei LİU

Pages : 367-373

Doi:10.15672/hujms.1106486

View : 22 | Download : 7

Publication Date : 2023-03-31

Article Type : Research Paper

Abstract :We call a group $G$ belongs to the class of groups $S_{p}\`$, if for every $pd$-chief factor $A/B$ of $G$, $insert ignore into journalissuearticles values(insert ignore into journalissuearticles values(A/B);_{p});\`=1$. 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