Varieties and cohomology of infinitely generated modules |
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Authors: | David J Benson Jon F Carlson |
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Institution: | (1) Department of Mathematics, University of Aberdeen, Aberdeen, AB24 3UE, Scotland, UK;(2) Department of Mathematics, University of Georgia, Athens, GA 30602, USA |
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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 |
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Keywords: | " target="_blank"> Infinitely generated modules groups algebras support varieties idempotent modules |
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