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On a theorem of J. A. Green

Published online by Cambridge University Press:  09 April 2009

Michael F. O'Reilly
Michael F. O'Reilly
Affiliation:
Department of Mathematics, University of Papua New Guinea, Port Moresby, Papua New Guinea
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Let G be a finite group, K a field of characteristic p and Γ the group algebra of G over k. Let e = ∑g∈Gαgg, αg ∈k, be a primitive central idempotent of Γ; let supp e = {g ∈ G: αg≠0}. We provide a short proof of a slightly stronger version of Theorem 5 of Green (1968).

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 20 , Issue 4 , November 1975 , pp. 449 - 450
Copyright
Copyright © Australian Mathematical Society 1975

References

Green, J. A. (1968), ‘Some remarks on defect groups’, Math. Z. 107, 133–150.CrossRefGoogle Scholar
Jacobson, N. (1943), The theory of rings (Mathematical Survey A. M. S., 1943).CrossRefGoogle Scholar