Geodesic
Rings of functions on non-abelian groups
Algebra and discrete mathematics, no. 1 (2009), pp. 59-73

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{ADM_2009_1_a6,
     author = {C. J. Maxson},
     title = {Rings of functions on non-abelian groups},
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     number = {1},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2009_1_a6/}
}
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C. J. Maxson. Rings of functions on non-abelian groups. Algebra and discrete mathematics, no. 1 (2009), pp. 59-73. http://geodesic.mathdoc.fr/item/ADM_2009_1_a6/