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

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2017
• 1. Verfasser: Sinitsa, D.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2017
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/156024
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: A note on Hall S-permutably embedded subgroups of finite groups / D. Sinitsa // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 305-311. — Бібліогр.: 9 назв. — англ.

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...