X. Ma
School of Mathematics and Computer, University of Datong of Shanxi, Datong 037009, P.R. China.
[ 1 ] - On $Phi$-$tau$-quasinormal subgroups of finite groups
Let $tau$ be a subgroup functor and $H$ a $p$-subgroup of a finite group $G$. Let $bar{G}=G/H_{G}$ and $bar{H}=H/H_{G}$. We say that $H$ is $Phi$-$tau$-quasinormal in $G$ if for some $S$-quasinormal subgroup $bar{T}$ of $bar{G}$ and some $tau$-subgroup $bar{S}$ of $bar{G}$ contained in $bar{H}$, $bar{H}bar{T}$ is $S$-quasinormal in $bar{G}$ and $bar{H}capbar{T}leq bar{S}Phi(bar{H})$. I...