Classical groups as Frobenius complement

• Date: 2023
• Main Authors: Darefsheh, M., Saydi, H.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2023
• Subjects: classical group; Frobenius group; Frobenius complement; 20H20; 20F50
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1929
• Journal Title: Algebra and Discrete Mathematics

The Frobenius group \(G\) belongs to an important class of groups that more than 100 years ago was defined by F. G. Frobenius who proved that \(G\) is a semi-direct product of a normal subgroup \(K\) of \(G\) called kernel by another non-trivial subgroup \(H\) called the complement. In this case we...