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

Published online by Cambridge University Press:  01 July 1997

IAN J. LEARY  and
BJÖRN SCHUSTER
IAN J. LEARY
Affiliation:
Present address: Faculty of Math. Studies, University of Southampton, Southampton SO17 1BJ. Max-Planck Institut für Mathematick, 53225 Bonn, Germany
BJÖRN SCHUSTER
Affiliation:
Present address: FB Mathematik, Bergische Universität, D-42097 Wuppertal, Germany. Centre de Recerca Matemàtica, E-08193 Bellaterra (Barcelona), Spain
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 122 , Issue 1 , July 1997 , pp. 73 - 89
Copyright
Cambridge Philosophical Society 1997

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