Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-08T08:04:00.206Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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