On the Castelnuovo-Mumford regularity of the cohomology ring of a group
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- by Peter Symonds
- J. Amer. Math. Soc. 23 (2010), 1159-1173
- DOI: https://doi.org/10.1090/S0894-0347-10-00666-1
- Published electronically: April 1, 2010
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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.References
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Bibliographic 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.
- © Copyright 2010 American Mathematical Society
- 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
- MathSciNet review: 2669710