On some second maximal subgroups of non-solvable groups

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.,

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