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On the BP<n>-cohomology of elementary abelian p-groups

The structure of the BP<n>-cohomology of elementary abelian p-groups is studied, obtaining a presentation expressed in terms of BP-cohomology and mod-p singular cohomology, using the Milnor derivations. The arguments are based on a result on multi-Koszul complexes which is related to Margolis's criterion for freeness of a graded module over an exterior algebra.

preprint2015arXivOpen access
Geoffrey Powell
math.AT
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Geoffrey Powell

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