Journal of Group Theory
Editor-in-Chief: Parker, Christopher W. / Wilson, John S.
Managing Editor: Khukhro, Evgenii I. / Kramer, Linus
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Decomposing tensor products and exterior and symmetric squares
1Department of Mathematics, Allegheny College, Meadville, PA 16335, U.S.A.
Citation Information: Journal of Group Theory. Volume 14, Issue 1, Pages 59–82, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgt.2010.059, September 2010
- Published Online:
We describe a new algorithm for decomposing tensor products of indecomposable KG-modules into a direct sum of indecomposable KG-modules when K is a field of finite characteristic p and G a cyclic group of order q = pt. We use this algorithm to extend reciprocity results of Gow and Laffey relating the exterior and symmetric squares of indecomposable modules when p is odd.
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