Essential cohomology for elementary abelian p-groups

Details Essential cohomology for elementary abelian p-groups Essential cohomology for elementary abelian p-groups

2008-09-25

arxiv.org/abs/0809.4425v1

Mathematics

Group Theory

10 pages

Scientific paper

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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