Serial group rings of finite groups. General linear and close groups

• Date: 2015
• Main Authors: Kukharev, Andrei, Puninski, Gena
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2015
• Subjects: serial ring; group ring; general linear group; special linear group; projective special linear group; 20C05; 20G40
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/102
• Journal Title: Algebra and Discrete Mathematics

For a given \(p\), we determine when the \(p\)-modular group ring of a group from \(\mathrm{GL}(n,q)\), \(\mathrm{SL}(n,q)\)and \(\mathrm{PSL}(n,q)\)-series is serial.