ArticleOriginal scientific text
Title
The class number one problem for the dihedral and dicyclic CM-fields
Authors 1
Affiliations
- Département de Mathématiques, Université de Caen, Campus 2, BP 5186, 14032 Caen Cedex, France
Abstract
We recall the determination of all the dihedral CM-fields with relative class number one, and prove that dicyclic CM-fields have relative class numbers greater than one.
Keywords
relative class number, CM-field, dihedral group, dicyclic group
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