Finite groups with all 3-maximal subgroups K-U-subnormal
A classification of finite groups in which every 3-maximal subgroup is K-U-subnormal is given.
math.GR↗
arXiv subjects
Xiaolan Yi
Publications and source records attributed to Xiaolan Yi.
Some new characterizations of $PST$-groups
Let $H$ and $B$ be subgroups of a finite group $G$ such that $G=N_{G}(H)B$. Then we say that $H$ is \emph{quasipermutable} (respectively \emph{$S$-quasipermutable}) in $G$ provided $H$ permutes with $B$ and with every subgroup (respectively with every Sylow subgroup) $A$ of $B$ such that $(|H|, |A|)=1$. In this paper we analyze the influence of $S$-quasipermutable and quasipermutable subgroups on the structure of $G$. As an application, we give new characterizations of soluble $PST$-groups.
math.GR↗