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arXiv · 0809.4425

Essential cohomology for elementary abelian p-groups

Fatma Altunbulak Aksu·David J. Green
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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.

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Fatma Altunbulak Aksu, David J. Green. 2008-09-25. Essential cohomology for elementary abelian p-groups. https://doi.org/10.1016/j.jpaa.2009.04.016

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