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Nilpotence in group cohomology

Part of: Fiber spaces and bundles Connections with homological algebra and category theory

Published online by Cambridge University Press:  05 December 2012

Nicholas J. Kuhn
Nicholas J. Kuhn*
Affiliation:
Department of Mathematics, University of Virginia, Charlottesville, VA 22904, USA ([email protected])
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Abstract

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We study bounds on nilpotence in H*(BG), the mod p cohomology of the classifying space of a compact Lie group G. Part of this is a report of our previous work on this problem, updated to reflect the consequences of Peter Symonds's recent verification of Dave Benson's Regularity Conjecture. New results are given for finite p-groups, leading to good bounds on nilpotence in H*(BP) determined by the subgroup structure of the p-group P.

Keywords

group cohomologyclassifying spacesinvariant theory

MSC classification

Secondary: 20J06: Cohomology of groups 55R40: Homology of classifying spaces, characteristic classes
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 56 , Issue 1 , February 2013 , pp. 151 - 175
Copyright
Copyright © Edinburgh Mathematical Society 2012

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