On the $IC$-$\Pi$-property of subgroups of finite groups

Zhengtian Qiu, Shouhong Qiao

Let $H$ be a subgroup of a finite group $G$. We say that $H$ satisfies the $\Pi$-property in $G$ if $|G/K:N_{G/K}((H\cap L)K/K)|$ is a $\pi ((H\cap L)K/K)$-number fo…