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

• Дата: 2014
• Автори: Li, X. H., Xu, Y., Лі, Х. Х., Ху, Я.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2014
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2184
• Назва журналу: 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.