%0 Journal Article %T Essential cohomology for elementary abelian p-groups %A Fatma Altunbulak Aksu %A David J. Green %J Mathematics %D 2008 %I arXiv %R 10.1016/j.jpaa.2009.04.016 %X 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. %U http://arxiv.org/abs/0809.4425v1