On p-nilpotency of finite groups?

Baojun Li, Tuval Foguel

Let $H$ be a subgroup of a group $G$. $H$ is said satisfying $\Pi$-property in $G$, if $|G/K:N_{G/K}(HK/K\cap L/K)|$ is a $\pi (HK/K\cap L/K))$-number for any chief factor $L/K$ of $G$,…