On \(S\)-quasinormally embedded subgroups of finite groups

• Date: 2018
• Main Authors: Al-Sharo, Kh. A., Shemetkova, Olga, Yi, Xiaolan
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Finite group; p-nilpotent; S-quasinormal subgroup; 20D10; 20D20; 20D25
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/689
• Journal Title: Algebra and Discrete Mathematics

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 \(B_{seG}\)...