Mathematical Proceedings of the Cambridge Philosophical Society


Research Article

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


IAN J. LEARY a1 and BJÖRN SCHUSTER a2
a1 Max-Planck Institut für Mathematick, 53225 Bonn, Germany
a2 Centre de Recerca Matemàtica, E-08193 Bellaterra (Barcelona), Spain

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, defined below) for the automorphism group of V. We use Brauer characters and computer calculations. Our algorithm for finding permutation submodules of modules for p-groups may be of independent interest.

(Received August 24 1995)
(Revised March 8 1996)


Correspondence:

Present address: Faculty of Math. Studies, University of Southampton, Southampton SO17 1BJ.
Present address: FB Mathematik, Bergische Universität, D-42097 Wuppertal, Germany.