The radical of the center of a group algebra
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- by D. S. Passman PDF
- Proc. Amer. Math. Soc. 78 (1980), 323-326 Request permission
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.References
- Donald S. Passman, The algebraic structure of group rings, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1977. MR 0470211
- Wolfgang Willems, Über die Existenz von Blöcken, J. Algebra 53 (1978), no. 2, 402–409 (German). MR 502638, DOI 10.1016/0021-8693(78)90285-5
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 323-326
- MSC: Primary 20C05
- DOI: https://doi.org/10.1090/S0002-9939-1980-0553368-7
- MathSciNet review: 553368