On \(p\)-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups

• Date: 2020
• Main Author: Trofimuk, A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2020
• Subjects: \(p\)-supersolvable group; normally embedded subgroup; maximal subgroup; Sylow subgroup; 20D10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1128
• Journal Title: Algebra and Discrete Mathematics

Let \(G\) be a finite group and \(P\) be a \(p\)-subgroup of \(G\). If \(P\) is a Sylow subgroup of some normal subgroup of \(G\), then we say that \(P\) is normally embedded in \(G\). Groups with normally embedded maximal subgroups of Sylow \(p\)-subgroup, where \({(|G|, p-1)=1}\), are studied. In...