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Varieties and cohomology of infinitely generated modules
Authors:David J Benson  Jon F Carlson
Institution:(1) Department of Mathematics, University of Aberdeen, Aberdeen, AB24 3UE, Scotland, UK;(2) Department of Mathematics, University of Georgia, Athens, GA 30602, USA
Abstract:Suppose that k is a field of characteristic p and that G is a finite group having p-rank at least three. Given a regular sequence of length 2 in H*(G, k), we show how to construct an infinitely generated module whose support variety is strictly smaller than the small support of its cohomology. Received: 25 January 2008
Keywords:" target="_blank">    Infinitely generated modules  groups algebras  support varieties  idempotent modules
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