A note on \(c\)-normal subgroups of finite groups

• Date: 2018
• Main Author: Skiba, Alexander N.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: finite group; supersoluble group; \(c\)-normal subgroup; maximal subgroup; Sylow subgroup; 20D20
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/930
• Journal Title: Algebra and Discrete Mathematics

Let \(G\) be a finite group. We fix in  every non-cyclic Sylow subgroup  \(P\) of \(G\) some its subgroup \(D\) satisfying \(1<|D|<|P|\)  and study the structure of \(G\) under assumption that all subgroups \(H\)  of  \(P\)  with  \(|H|=|D|\)  are  \(c\)-normal in \(G\).