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On the degree of an indecomposable representation of a finite group
Published online by Cambridge University Press: 09 April 2009
Abstract
Let k be an algebraically closed field of characteristic p, and G a finite group. Let M be an indecomposable kG-module with vertex V and source X, and let P be a Sylow p-subgroup of G containing V. Theorem: If dimkX is prime to p and if NG(V) is p-solvable, then the p-part of dimkM equals [P:V]; dimkX is prime to p if V is cyclic.
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- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 28 , Issue 3 , November 1979 , pp. 321 - 324
- Copyright
- Copyright © Australian Mathematical Society 1979
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