Weakly SS-Quasinormal Minimal Subgroups and the Nilpotency of a Finite Group

• Datum: 2014
• Hauptverfasser: Zhang, Xirong, Zhao, Tao, Чжан, Хіронг, Чжао, Тао
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2014
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2122
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

A subgroup H is said to be an s-permutable subgroup of a finite group G provided that the equality HP =PH holds for every Sylow subgroup P of G. Moreover, H is called SS-quasinormal in G if there exists a supplement B of H to G such that H permutes with every Sylow subgroup of B. We show that H is w...