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Licensed Unlicensed Requires Authentication Published by De Gruyter September 9, 2010

Decomposing tensor products and exterior and symmetric squares

  • Michael J. J. Barry EMAIL logo
From the journal Journal of Group Theory


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.

Received: 2009-07-02
Revised: 2010-04-15
Published Online: 2010-09-09
Published in Print: 2011-January

© de Gruyter 2011

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