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

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.

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Bibliographic Details
Published in:Journal of the American Mathematical Society 2010-10, Vol.23 (4), p.1159-1173
Main Author: Symonds, Peter
Format: Article
Language:English
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Summary: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.
ISSN:0894-0347
1088-6834
DOI:10.1090/S0894-0347-10-00666-1