The influence of weakly \(s\)-permutably embedded subgroups on the \(p\)-nilpotency of finite groups

• Date: 2018
• Main Author: Li, Changwen
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: weakly s-permutably embedded subgroups; p-nilpotent; maximal subgroup; 2-maximal subgroup; 20D10; 20D20
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/671
• Journal Title: Algebra and Discrete Mathematics

Suppose \(G\) is a finite group and \(H\) is a subgroup of \(G\). \(H\) is said to be \(s\)-permutably embedded in \(G\) if for each prime \(p\) dividing \(|H|\), a Sylow \(p\)-subgroup of \(H\) is also a Sylow \(p\)-subgroup of some \(s\)-permutable subgroup of \(G\); \(H\) is called  weakly \(s\)-...