A functorial description of the Morava K-theories of elementary abelian 2-groups

摘要

The aim of this article is to study, from a functorial viewpoint, the mod 2 Morava K-theories of elementary abelian 2-groups. Namely, we study the functors V bar right arrow K(n) * (BV) for the prime p = 2 and n a positive integer. They are graded over Z/(2(n+1) - 2), the odd terms of this graduation are trivial.