Essential cohomology for elementary abelian p-groups

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Aksu, Fatma Altunbulak
Green, David J.
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Abstract
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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.
Comment: 10 pages
Keywords
Mathematics - Group Theory, 20J06 (Primary) 13A50, 55S10 (Secondary)
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