Abstract: | In this paper we define three elements of a certain generalisedcohomology ring BPm, n* BVk. Here m, n and k are non-negativeintegers with k+mn+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. |