Journal of the American Mathematical Society

ISSN 1088-6834(online) ISSN 0894-0347(print)



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

Author: Peter Symonds
Journal: J. Amer. Math. Soc. 23 (2010), 1159-1173
MSC (2010): Primary 20J06; Secondary 57S15
Published electronically: April 1, 2010
MathSciNet review: 2669710
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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.

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Peter Symonds
Affiliation: School of Mathematics, University of Manchester, Manchester M13 9PL, United Kingdom

Received by editor(s): July 10, 2009
Received by editor(s) in revised form: January 15, 2010
Published electronically: April 1, 2010
Additional Notes: The author was partially supported by a grant from the Leverhulme Trust.
Article copyright: © Copyright 2010 American Mathematical Society