On the $BP\langle n\rangle$-cohomology of elementary abelian $p$-groups
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Abstract:
The structure of the $BP\langle n\rangle$-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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Additional Information
- Geoffrey Powell
- Affiliation: Laboratoire Angevin de Recherche en Mathématiques, UMR 6093, Faculté des Sciences, Université d’Angers, 2 Boulevard Lavoisier, 49045 Angers, France
- Email: Geoffrey.Powell@math.cnrs.fr
- Received by editor(s): November 20, 2013
- Received by editor(s) in revised form: January 13, 2015, and March 13, 2015
- Published electronically: January 27, 2016
- © Copyright 2016 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 368 (2016), 8029-8046
- MSC (2010): Primary 55N20, 55N22, 20J06
- DOI: https://doi.org/10.1090/tran6699
- MathSciNet review: 3546792