Rings of functions on non-abelian groups

• Date: 2009
• Main Author: Maxson, C.J.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Series: Algebra and Discrete Mathematics
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153382
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Rings of functions on non-abelian groups / C.J. Maxson // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 59–73. — Бібліогр.: 4 назв. — англ.

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