c * -Supplemented subgroups and p -nilpotency of finite groups

• Datum: 2007
• Hauptverfasser: Wang, Youyu, Wei, H., Ван, Й., Вей, Х.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2007
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3364
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

A subgroup $H$ of a finite group $G$ is said to be $c^{*}$-supplemented in $G$ if there exists a subgroup $K$ such that $G = HK$ and $H ⋂ K$ is permutable in $G$. It is proved that a finite group $G$ that is $S_4$-free is $p$-nilpotent if $N_G (P)$ is $p$-nilpotent and, for all $x ∈ G \backslash N_G...