Essential cohomology for elementary abelian p-groups
Group Theory
2015-02-23 v1
Abstract
For an odd prime p the cohomology ring of an elementary abelian p-group is polynomial tensor exterior. We show that the ideal of essential classes is the Steenrod closure of the class generating the top exterior power. As a module over the polynomial algebra, the essential ideal is free on the set of Mui invariants.
Keywords
Cite
@article{arxiv.0809.4425,
title = {Essential cohomology for elementary abelian p-groups},
author = {Fatma Altunbulak Aksu and David J. Green},
journal= {arXiv preprint arXiv:0809.4425},
year = {2015}
}
Comments
10 pages