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On the BP-cohomology of elementary abelian p-groups

Abstract :

The structure of the BP-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.

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https://hal.archives-ouvertes.fr/hal-01392728
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Submitted on : Friday, November 4, 2016 - 4:24:37 PM
Last modification on : Tuesday, November 16, 2021 - 9:52:05 AM

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Geoffrey Powell. On the BP-cohomology of elementary abelian p-groups. Transactions of the American Mathematical Society, American Mathematical Society, 2016, pp.8029-8046. ⟨10.1090/tran6699⟩. ⟨hal-01392728⟩

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