@article{Miao_Pu_2011, title={<i>Q</i> -permutable subgroups of finite groups}, volume={63}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2823}, abstractNote={A subgroup $H$ of a group $G$ is called $Q$-permutable in $G$ if there exists a subgroup $B$ of $G$ such that (1) $G = HB$ and (2) if $H_1$ is a maximal subgroup of $H$ containing $H_{QG}$, then $H_1B = BH_1 < G$, where $H_{QG}$ is the largest permutable subgroup of $G$ contained in $H$. In this paper we prove that: Let $F$ be a saturated formation containing $U$ and $G$ be a group with a normal subgroup $H$ such that $G/H \in F$. If every maximal subgroup of every noncyclic Sylow subgroup of $F∗(H)$ having no supersolvable supplement in $G$
is $Q$-permutable in $G$, then $G \in F$.}, number={11}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={MiaoL. and PuZh.}, year={2011}, month={Nov.}, pages={1534-1543} }