Nilpotence in Group Cohomology

Details Nilpotence in Group Cohomology Nilpotence in Group Cohomology

2010-02-24

arxiv.org/abs/1002.4662v1

Mathematics

Group Theory

21 pages

Scientific paper

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 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.

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