Rings of functions on non-abelian groups

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)).

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Bibliographic Details
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
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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)).