On well p-embedded subgroups of finite groups

• Published in: Algebra and Discrete Mathematics
• Date: 2008
• Main Authors: Hutsko, N.V., Skiba, A.N.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152388
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On well p-embedded subgroups of finite groups / N.V. Hutsko, A.N. Skiba // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 2. — С. 50–64. — Бібліогр.: 19 назв. — англ.

Let G be a finite group, H a subgroup of G and HsG the subgroup of H genarated by all those subgroups of H which are s-permutable in G. Then we say that H is well p-embedded in G if G has a quasinormal subgroup T such that HT=G and T∩H≤HsG. In the present article we use the well p-embedded group...