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A Leopoldt-Type Result for Rings of Integers of Cyclotomic Extensions

Published online by Cambridge University Press:  20 November 2018

W. Bley
W. Bley*
Affiliation:
Werner Bley, Institut für Mathematik, Universität Augsburg, Universitätsstr. 8 86135 Augsburg Germany e-mail:Bley@Uni-Augsburg. DE
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Abstract

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Let p be a prime number and let m, r denote positive integers with r ≥ 1 if p > 3 (resp. r ≥ 2 if p = 2) and m ≥ 1. We put and Γ = Gd1(N/M). Then the associated order of N/M is the unique maximal order M in the group ring MΓ and ON is a free, rank one module over M. A generator of ON over M is explicitly given.

Keywords

11R1811R33
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 2 , 01 June 1995 , pp. 141 - 148
Copyright
Copyright © Canadian Mathematical Society 1995

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