On S-quasinormally embedded subgroups of finite groups

• Published in: Algebra and Discrete Mathematics
• Date: 2012
• Main Authors: Al-Sharo, Kh.A., Shemetkova, O., Xiaolan Yi
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152183
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 w...