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On S-quasinormally embedded subgroups of finite groups

Vernadsky National Library of Ukraine

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Title On S-quasinormally embedded subgroups of finite groups
 
Creator Al-Sharo, Kh.A.
Shemetkova, O.
Xiaolan Yi
 
Description Let G be a finite group. A subgroup A is called:1) S-quasinormal in G if A is permutable with all Sylow subgroups in G 2) S-quasinormally embedded in G if every Sylow subgroup of A is a Sylow subgroup of some S-quasinormal subgroup of G. Let BseG be the subgroup generated by all the subgroups of B which are S-quasinormally embedded in G. A subgroup B is called SE-supplemented in G if there exists a subgroup T such that G = BT and B ∩ T ≤ BseG. The main result of the paper is the following.
 
Date 2019-06-08T09:40:28Z
2019-06-08T09:40:28Z
2012
 
Type Article
 
Identifier On S-quasinormally embedded subgroups of finite groups / Kh.A. Al-Sharo, O. Shemetkova, Xiaolan Yi // Algebra and Discrete Mathematics. — 2012. — Vol. 13, № 1. — С. 18–25. — Бібліогр.: 20 назв. — англ.
1726-3255
2010 Mathematics Subject Classification:20D10, 20D20, 20D25.
http://dspace.nbuv.gov.ua/handle/123456789/152183
 
Language en
 
Relation Algebra and Discrete Mathematics
 
Publisher Інститут прикладної математики і механіки НАН України