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A SPLITTING PRINCIPLE FOR MODULAR GROUP REPRESENTATIONS

Published online by Cambridge University Press:  24 March 2003

PETER SYMONDS
PETER SYMONDS
Affiliation:
Department of Mathematics, U.M.I.S.T., P.O. Box 88, Manchester M60 1QD Peter.Symonds@umist.ac.uk
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Abstract

The author of this paper has shown previously how a complex representation of a finite group can be split into a virtual sum of representations induced from one-dimensional representations of subgroups in a natural way (sometimes known as explicit Brauer induction). Here the modular case is treated, yielding an analogous result at the level of Brauer characters in general, and in the Green ring for trivial source modules.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 5 , September 2002 , pp. 551 - 560
Copyright
© The London Mathematical Society 2002

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