On the Castelnuovo-Mumford regularity of the cohomology ring of a group-Reference-Cited by-同舟云学术

On the Castelnuovo-Mumford regularity of the cohomology ring of a group

Published:2010-04-01 Issue:4 Volume:23 Page:1159-1173
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Symonds Peter

Abstract

We prove Benson’s Regularity Conjecture that the regularity of the cohomology of a finite group is zero. We also prove some of his generalisations to other classes of groups.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/2010-23-04/S0894-0347-10-00666-1/S0894-0347-10-00666-1.pdf

Reference34 articles.

1. Modules with injective cohomology, and local duality for a finite group;Benson, David;New York J. Math.,2001

2. Dickson invariants, regularity and computation in group cohomology;Benson, Dave;Illinois J. Math.,2004

3. Commutative algebra in the cohomology of groups;Benson, Dave,2004

4. On the regularity conjecture for the cohomology of finite groups;Benson, David J.;Proc. Edinb. Math. Soc. (2),2008

5. Commutative algebra for cohomology rings of classifying spaces of compact Lie groups;Benson, D. J.;J. Pure Appl. Algebra,1997

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