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On a theorem of J. A. Green

  • Michael F. O'Reilly (a1)
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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, αgk, be a primitive central idempotent of Γ; let supp e = {gG: αg≠0}. We provide a short proof of a slightly stronger version of Theorem 5 of Green (1968).

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References
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Green, J. A. (1968), ‘Some remarks on defect groups’, Math. Z. 107, 133150.
Jacobson, N. (1943), The theory of rings (Mathematical Survey A. M. S., 1943).
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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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