Premium
The BP 〈 N 〉 Cohomology of Elementary Abelian Groups
Author(s) -
Strickland N. P.
Publication year - 2000
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610799008340
Subject(s) - abelian group , cohomology , mathematics , prime (order theory) , notation , rank (graph theory) , pure mathematics , ring (chemistry) , group (periodic table) , combinatorics , algebra over a field , physics , arithmetic , chemistry , organic chemistry , quantum mechanics
In this paper we define three elements of a certain generalised cohomology ring BP 〈 m , n 〉* BV k . Here m , n and k are non‐negative integers with k + m ⩽ n +1, there is a fixed prime p not exhibited in the notation, and V k 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.