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ON INDECOMPOSABLE AND IMPRIMITIVE MODULES FOR FINITE GROUPS – A G-ALGEBRA APPROACH

Published online by Cambridge University Press:  01 June 1999

HUBERT FOTTNER  and
BURKHARD KÜLSHAMMER
HUBERT FOTTNER
Affiliation:
Mathematisches Institut, Friedrich–Schiller–Universität, 07740 Jena, Germany
BURKHARD KÜLSHAMMER
Affiliation:
Mathematisches Institut, Friedrich–Schiller–Universität, 07740 Jena, Germany
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Abstract

One of the most useful results in modular representation theory of finite groups is Green's indecomposability theorem [4]. In order to state it in a simple form, let us fix a complete discrete valuation ring [Oscr ] of characteristic 0 with algebraically closed residue field [ ] of characteristic p≠0. Unless stated otherwise, all our modules will be free of finite rank over [Oscr ] or [ ], respectively. In its most popular form, Green's theorem says the following.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 59 , Issue 3 , June 1999 , pp. 828 - 844
Copyright
The London Mathematical Society 1999

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