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THE BP〈N〉 COHOMOLOGY OF ELEMENTARY ABELIAN GROUPS

Published online by Cambridge University Press:  01 February 2000

N. P. STRICKLAND
N. P. STRICKLAND
Affiliation:
Trinity College, Cambridge CB2 1TQ, UK
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Abstract

In this paper we define three elements of a certain generalised cohomology ring BP〈m, n〉* BVk. Here m, n and k are non-negative integers with k+m[les ]n+1, there is a fixed prime p not exhibited in the notation, and Vk is an elementary Abelian p-group of rank k. We show that these elements are equal; this is striking, because the three definitions are very different. The significance of our equation is not yet entirely clear, but it makes contact with other work in the literature in a number of fascinating ways.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 61 , Issue 1 , February 2000 , pp. 93 - 109
Copyright
The London Mathematical Society 2000

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