On the partial $\Pi$-property of second minimal or second maximal subgroups of Sylow subgroups of finite groups

Zhengtian Qiu, Jianjun Liu, Guiyun Chen

Let $H$ be a subgroup of a finite group $G$. We say that $H$ satisfies the partial $\Pi$-property in $G$ if if there exists a chief series $ \varGamma_{G}: 1 =G_{0} < G_{1}…