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A note on Hall S-permutably embedded subgroups of finite groups

Let G be a finite group. Recall that a subgroup A of G is said to permute with a subgroup B if AB=BA. A subgroup A of G is said to be S-quasinormal or S-permutable in G if A permutes with all Sylow subgroups of G. Recall also that HsG is the S-permutable closure of H in G, that is, the intersect...

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Bibliographic Details
Main Author: Sinitsa, D.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2017
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/156024
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