Characterization of finite groups with some \(S\)-quasinormal subgroups of fixed order

• Date: 2018
• Main Authors: Asaad, M., Csörgő, Piroska
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: \(S\)-quasinormality; generalized Fitting subgroup; supersolvability; 20D10; 20D30
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/717
• Journal Title: Algebra and Discrete Mathematics

Let \(G\) be a finite group. A subgroup of \(G\) is said to be \(S\)-quasinormal in \(G\) if it permutes with every Sylow subgroup of \(G\). We fix in every non-cyclic Sylow subgroup \(P\) of the generalized Fitting subgroup a subgroup \(D\) such that \(1 < |D| < |P|\) and characterize...