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Comparison of $K$ -Theory Galois Module Structure Invariants

Published online by Cambridge University Press:  20 November 2018

T. Chinburg
Affiliation:
Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104-6395, USA
M. Kolster
Affiliation:
Department of Mathematics, McMaster University, Hamilton, ON, L8S 4K1
V. P. Snaith
Affiliation:
Faculty of Mathematical Studies, University of Southampton, Hants SO17 1BJ, England
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Abstract

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We prove that two, apparently different, class-group valued Galois module structure invariants associated to the algebraic $K$ -groups of rings of algebraic integers coincide. This comparison result is particularly important in making explicit calculations.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2000