Finite groups with X-quasipermutable Sylow subgroups

• Date: 2015
• Main Authors: Xiaolan, Yi, Xue, Yang, Сяолань, Ій, Хуе, Янг
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2015
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2104
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let H ≤ E and X be subgroups of a finite group G. Then we say that H is X-quasipermutable (XS-quasipermutable, respectively) in E provided that G has a subgroup B such that E = NE(H)B and H X-permutes with B and with all subgroups (with all Sylow subgroups, respectively) V of B such that (|H|, |V |)...