On the GL(V)-module structure of K(n)*(BV) 

I. J. Leary and B. Schuster

Abstract
We study the question of whether the Morava K-theory of the
classifying space of an elementary abelian group V is a permutation
module (in either of two distinct senses) for the automorphism group
of V. We use Brauer characters and computer calculations.  

We construct and implement an algorithm for finding permutation
submodules of maximal dimension inside modules for p-groups in
characteristic p.  

Math. Proc. Cambridge Phil. Soc. 122 (1997) 73-89.