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

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

2007-11-30

arxiv.org/abs/0711.5016v1

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

Mathematics

Algebraic Topology

Scientific paper

10.1017/S0305004196001570

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.

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