This article is cited in 1 paper

RESEARCH ARTICLE

Rings of functions on non-abelian groups

C. J. Maxson

Department of Mathematics, Texas A&M University, College Station, TX, 77843–3368, USA and Department of Mathematics, University of Stellenbosch, 7600 Stellen-bosch, South Africa

Abstract: 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 $\mathcal R(C)/J(\mathcal R(C))$.

Keywords: Covers of groups; rings of functions.

MSC: 16S60, 16N20, 20D99

Received: 11.03.2009
Revised: 01.05.2009

Language: English

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