On the BP-cohomology of elementary abelian p-groups

Geoffrey Powell (1)

1 LAREMA - Laboratoire Angevin de Recherche en Mathématiques

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.

Domaines: Mathématiques [math]

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