On nearly \({S\Phi}\)-normal subgroups of finite groups

• Date: 2024
• Main Authors: Hussain, M. T., Ullah, S.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2024
• Subjects: finite group; nearly \(S\Phi\)-normal subgroup; Sylow \(p\)-subgroup; \(p\)-nilpotent group; supersoluble group; 20D10; 20D2; 20D35
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2007
• Journal Title: Algebra and Discrete Mathematics

Let \(G\) be a finite group, \(H\) a subgroup of \(G\) and \(H_{sG}\) the subgroup of \(H\) generated by all those subgroups of \(H\) which are \(s\)-permutable in \(G\). Then we say that \(H\) is \(\textit{nearly \(S\Phi\)-normal}\) in \(G\) if \(G\) has a normal subgroup \(T\) such that \(HT\unlhd...