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On Units and Class Numbers of Pure Cubic Fields

Part of: Algebraic number theory: global fields

Published online by Cambridge University Press:  21 December 2009

Nils Reich
Nils Reich
Affiliation:
Seminar for Applied Mathematics, ETH Zurich, Raemistrasse 101, 8092 Zurich, Switzerland E-mail: nils.reich@math.ethz.ch
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Abstract

This is a study of relations between pure cubic fields and their normal closures. Explicit formula shows how the discriminant, regulator and class number of the normal closure can be expressed in terms of the cubic field.

MSC classification

Secondary: 11R16: Cubic and quartic extensions 11R29: Class numbers, class groups, discriminants
Type
Research Article
Information
Mathematika , Volume 52 , Issue 1-2 , December 2005 , pp. 87 - 91
Copyright
Copyright © University College London 2005

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References

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