Groups all cyclic subgroups of which are BN A-subgroups

• Date: 2017
• Main Authors: He, X., Li, S., Wang, Youyu, Ге, Х., Лі, С., Ван, Й.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1695
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Suppose that $G$ is a finite group and $H$ is a subgroup of $G$. We say that $H$ is a BN A-subgroup of $G$ if either $H^x = H$ or $x \in \langle H, H^x\rangle$ for all $x \in G$. The BN A-subgroups of $G$ are between normal and abnormal subgroups of $G$. We obtain some new characterizations for f...