CLT-Groups with Hall S-Quasinormally Embedded Subgroups

• Date: 2014
• Main Authors: Li, Shirong, Liu, Jianjun, Лі, Шіронг, Лю, Жіанюнь
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2205
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A subgroup H of a finite group G is said to be Hall S-quasinormally embedded in G if H is a Hall subgroup of the S-quasinormal closure H SQG . We study finite groups G containing a Hall S-quasinormally embedded subgroup of index p n for each prime power divisor p n of the order of G.