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Title

Thick subcategories of the stable module category

Authors 1, 1, 2

Affiliations

  1. Department of Mathematics, University of Georgia, Athens, Georgia 30602, U.S.A.
  2. School of Mathematics, University of Bristol, University Walk, Bristol, BS8 1TW England

Abstract

We study the thick subcategories of the stable category of finitely generated modules for the principal block of the group algebra of a finite group G over a field of characteristic p. In case G is a p-group we obtain a complete classification of the thick subcategories. The same classification works whenever the nucleus of the cohomology variety is zero. In case the nucleus is nonzero, we describe some examples which lead us to believe that there are always infinitely many thick subcategories concentrated on each nonzero closed homogeneous subvariety of the nucleus.

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Fundamenta Mathematicae
1997/153/1
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Pages:
59-80
Main language of publication
English
Received
1996-10-11
Accepted
1996-12-16
Published
1997
Exact and natural sciences