Weakly SS-quasinormal minimal subgroups and the nilpotency of a finite group

• Published in: Український математичний журнал
• Date: 2014
• Main Authors: Zhao, T., Zhang, X.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165441
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Weakly SS-quasinormal minimal subgroups and the nilpotency of a finite group / T. Zhao, X. Zhang // Український математичний журнал. — 2014. — Т. 66, № 2. — С. 187–194. — Бібліогр.: 21 назв. — англ.

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...