On weakly s -normal subgroups of finite groups

• Date: 2011
• Main Authors: Li, Yangming, Qiao, Shouhong, Лі, Янмін, Чяо, Шоухонг
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2825
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Assume that $G$ is a finite group and $H$ is a subgroup of $G$. We say that $H$ is $s$-permutably imbedded in $G$ if, for every prime number p that divides $|H|$, a Sylow $p$-subgroup of $H$ is also a Sylow $p$-subgroup of some $s$-permutable subgroup of $G$; a subgroup $H$ is $s$-semipermutable in...