$s$-Conditionally Permutable Subgroups and $p$-Nilpotency of Finite Groups

• Date: 2014
• Main Authors: Li, X. H., Xu, Y., Лі, Х. Х., Ху, Я.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2184
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the $p$-nilpotency of a group such that every maximal subgroup of its Sylow $p$-subgroups is $s$-conditionally permutable for some prime $p$. By using the classification of finite simple groups, we get interesting new results and generalize some earlier results.