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Varieties and cohomology of infinitely generated modules

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Aberdeen, Aberdeen, AB24 3UE, Scotland, UK

    David J. Benson

  2. Department of Mathematics, University of Georgia, Athens, GA, 30602, USA

    Jon F. Carlson

Authors
  1. David J. Benson
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  2. Jon F. Carlson
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Corresponding author

Correspondence to Jon F. Carlson.

Additional information

The research of both authors was supported by senior research prizes from the Humboldt Foundation in Germany. The research of the second author was partly supported by a grant from the NSF.

Received: 25 January 2008

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Benson, D.J., Carlson, J.F. Varieties and cohomology of infinitely generated modules. Arch. Math. 91, 122–125 (2008). https://doi.org/10.1007/s00013-008-2731-8

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  • DOI: https://doi.org/10.1007/s00013-008-2731-8

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