Rings of functions on non-abelian groups

• Date: 2018
• Main Author: Maxson, C. J.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Covers of groups; rings of functions; 16S60; 16N20; 20D99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/769
• Journal Title: Algebra and Discrete Mathematics

For several classes of finite nonabelian groups we investigate the structure of the ring of functions, \({\mathcal{R}(C)}\), determined by the cover \(C\) of maximal abelian subgroups. We determine the Jacobson radical \(J({\mathcal{R}(C))}\) and the semisimple quotient ring \({\mathcal{R}(C)}/J({\m...