The BP cohomology of elementary Abelian groups
Neil P. Strickland
20J06; 55N20; 14L05
math.AT/0011120
Department of Pure Mathematics
University of Sheffield
Hicks Building
Hounsfield Road
Sheffield S3 7RH
UK
N.P.Strickland@sheffield.ac.uk
In this paper we study E^*BV_k, where E=BP is a cohomology theory
with coefficient ring F_p[v_m,...,v_n] (if m>0) or Z_(p)[v_1,...,v_n]
(if m=0). We use ideas from the theory of multiple level structures,
developed in earlier work of the author with John Greenlees. Our
results apply when k is less than or equal to w=n+1-m. If k