On ss-quasinormal and weakly s-supplemented subgroups of finite groups

• Date: 2011
• Main Authors: Li, C., Li, Yangming, Лі, К., Лі, Янмін
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2830
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Suppose that $G$ is a finite group and $H$ is a subgroup of $G$. $H$ is called $ss$-quasinormal in $G$ if there is a subgroup $B$ of $G$ such that $G = HB$ and $H$ permutes with every Sylow subgroup of $B$; $H$ is called weakly $s$-supplemented in G if there is a subgroup T of G such that $G = HT$ a...