English

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

Algebraic Topology 2015-01-14 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1304.0881,
  title  = {On the BP<n>-cohomology of elementary abelian p-groups},
  author = {Geoffrey Powell},
  journal= {arXiv preprint arXiv:1304.0881},
  year   = {2015}
}

Comments

Minor revision (18 pages)