Group ring idempotents with minimal trace
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- by D. A. R. Wallace PDF
- Proc. Amer. Math. Soc. 99 (1987), 609-612 Request permission
Abstract:
Let $G$ be a group and let $K$ be a field of characteristic 0. Let $e \ne 0$ be an idempotent of the group ring $K(G)$. It is shown that the trace of $e$ attains its lower bound if and only if the support of $e$ has a specific form.References
- Walter Feit, The representation theory of finite groups, North-Holland Mathematical Library, vol. 25, North-Holland Publishing Co., Amsterdam-New York, 1982. MR 661045
- Zbigniew S. Marciniak, Idempotents in group rings, Math. Z. 184 (1983), no. 1, 19–27. MR 711726, DOI 10.1007/BF01162004
- 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
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 99 (1987), 609-612
- MSC: Primary 16A27; Secondary 20C07
- DOI: https://doi.org/10.1090/S0002-9939-1987-0877025-9
- MathSciNet review: 877025