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.
@article{bwmeta1.element.bwnjournal-article-cmv80i2p259bwm,
author = {St\'ephane Louboutin},
title = {The class number one problem for the dihedral and dicyclic CM-fields},
journal = {Colloquium Mathematicae},
volume = {79},
year = {1999},
pages = {259-265},
zbl = {1036.11056},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv80i2p259bwm}
}
Louboutin, Stéphane. The class number one problem for the dihedral and dicyclic CM-fields. Colloquium Mathematicae, Tome 79 (1999) pp. 259-265. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv80i2p259bwm/
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