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
DOI:
https://doi.org/10.1090/S0894-0347-10-00666-1
Published electronically:
April 1, 2010
MathSciNet review:
2669710
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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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Additional Information
Peter Symonds
Affiliation:
School of Mathematics, University of Manchester, Manchester M13 9PL, United Kingdom
Email:
Peter.Symonds@manchester.ac.uk
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