- Hacettepe Journal of Mathematics and Statistics
- Vol: 52 Issue: 2
- On some second maximal subgroups of non-solvable groups
On some second maximal subgroups of non-solvable groups
Authors : Yuyun Wang, Long Miao, Wei Liu
Pages : 367-373
Doi:10.15672/hujms.1106486
View : 14 | Download : 7
Publication Date : 2023-03-31
Article Type : Research
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.