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2001 The rank of the group of relative units of a Galois extension
Yoshitaka Odai, Hiroshi Suzuki
Tohoku Math. J. (2) 53(1): 37-54 (2001). DOI: 10.2748/tmj/1178207530

Abstract

For an extension of number fields, we define the group of relative units, and determine its rank when the extension is a Galois extension. For this purpose we need to determine all the finite groups of which every abelian subgroup is cyclic.

Citation

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Yoshitaka Odai. Hiroshi Suzuki. "The rank of the group of relative units of a Galois extension." Tohoku Math. J. (2) 53 (1) 37 - 54, 2001. https://doi.org/10.2748/tmj/1178207530

Information

Published: 2001
First available in Project Euclid: 3 May 2007

zbMATH: 0992.11061
MathSciNet: MR1808640
Digital Object Identifier: 10.2748/tmj/1178207530

Subjects:
Primary: 11R27
Secondary: 11R32, 20D99

Rights: Copyright © 2001 Tohoku University

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