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On the ideal class groups of the maximal real subfields of number fields with all roots of unity

On the ideal class groups of the maximal real subfields of number fields with all roots of unity In this paper, for a totally real number field k we show the ideal class group of k(∪n>0μn)+ is trivial. We also study the p-component of the ideal class group of the cyclotomic Zp-extension. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of the European Mathematical Society Springer Journals

On the ideal class groups of the maximal real subfields of number fields with all roots of unity

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Publisher
Springer Journals
Copyright
Copyright © 1999 by Springer-Verlag Berlin Heidelberg & EMS
Subject
Mathematics; Mathematics, general
ISSN
1435-9855
DOI
10.1007/PL00011159
Publisher site
See Article on Publisher Site

Abstract

In this paper, for a totally real number field k we show the ideal class group of k(∪n>0μn)+ is trivial. We also study the p-component of the ideal class group of the cyclotomic Zp-extension.

Journal

Journal of the European Mathematical SocietySpringer Journals

Published: Jan 1, 1999

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