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The BP Cohomology of Elementary Abelian Groups
Authors:Strickland   N. P.
Affiliation:Trinity College Cambridge CB2 1TQ
Abstract:In this paper we define three elements of a certain generalisedcohomology ring BP<m, n>* BVk. Here m, n and k are non-negativeintegers with k+m≤n+1, there is a fixed prime p not exhibitedin the notation, and Vk is an elementary Abelian p-group ofrank k. We show that these elements are equal; this is striking,because the three definitions are very different. The significanceof our equation is not yet entirely clear, but it makes contactwith other work in the literature in a number of fascinatingways.
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