Second Maximal Subgroups of a Sylow p-Subgroup and the 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/2170
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A subgroup H of a group G is said to be weakly s-semipermutable in G if G has a subnormal subgroup T such that HT = G and H ∩ T ≤ \( {H}_{\overline{s}G} \) , where \( {H}_{\overline{s}G} \) is the subgroup of H generated by all subgroups of H that are s-semipermutable in G. The main aim of the pa...