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

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...

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Bibliographic Details
Date:2014
Main Authors: Zhang, Xirong, Zhao, Tao, Чжан, Хіронг, Чжао, Тао
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2014
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2122
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal