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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The radical of the center of a group algebra


Author: D. S. Passman
Journal: Proc. Amer. Math. Soc. 78 (1980), 323-326
MSC: Primary 20C05
MathSciNet review: 553368
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Abstract: Let $ K[G]$ denote the group algebra of a finite group G over a field K of characteristic $ p > 0$ and let $ \mathcal{Z} = {\mathbf{Z}}(K[G])$. In this paper, we offer a bound for the nilpotence degree of the Jacobson radical $ J\mathcal{Z}$ in terms of the order of a Sylow p-subgroup of G.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0553368-7
PII: S 0002-9939(1980)0553368-7
Article copyright: © Copyright 1980 American Mathematical Society