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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Article dans une revue
Transactions of the American Mathematical Society, American Mathematical Society, 2016, pp.8029-8046. 〈http://www.ams.org/journals/tran/0000-000-00/S0002-9947-2016-06699-4/home.html〉. 〈10.1090/tran6699〉
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https://hal.archives-ouvertes.fr/hal-01392728
Contributeur : Okina Université d'Angers <>
Soumis le : vendredi 4 novembre 2016 - 16:24:37
Dernière modification le : lundi 5 février 2018 - 15:00:03

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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. 〈http://www.ams.org/journals/tran/0000-000-00/S0002-9947-2016-06699-4/home.html〉. 〈10.1090/tran6699〉. 〈hal-01392728〉

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