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

Leary, Ian J. and Schuster, Bjorn (1997) On the GL(V)-module structure of K(n)*(BV). Mathematical Proceedings of the Cambridge Philosophical Society, 122, (1), 73-89. (doi:10.1017/S0305004196001570).


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We study the question of whether the Morava K-theory of the classifying space of an elementary abelian group V is a permutation module for the automorphism group of V. We use Brauer characters and computer calculations. We give an algorithm for finding permutation submodules of modules for p-groups which may be of independent interest.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1017/S0305004196001570
ISSNs: 0305-0041 (print)
1469-8064 (electronic)
Subjects: Q Science > QA Mathematics
Divisions : Faculty of Social and Human Sciences > Mathematical Sciences > Pure Mathematics
ePrint ID: 199379
Accepted Date and Publication Date:
Date Deposited: 18 Oct 2011 13:39
Last Modified: 31 Mar 2016 13:45
URI: http://eprints.soton.ac.uk/id/eprint/199379

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