Geodesic
The class number one problem for the dihedral and dicyclic CM-fields
Colloquium Mathematicum, Tome 80 (1999) no. 2, pp. 259-265.

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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.
DOI : 10.4064/cm-80-2-259-265
Keywords: relative class number, CM-field, dihedral group, dicyclic group

Stéphane Louboutin 1

1 
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Stéphane Louboutin. The class number one problem for the dihedral and dicyclic CM-fields. Colloquium Mathematicum, Tome 80 (1999) no. 2, pp. 259-265. doi : 10.4064/cm-80-2-259-265. http://geodesic.mathdoc.fr/articles/10.4064/cm-80-2-259-265/

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