The class number one problem for the dihedral and dicyclic CM-fields
Colloquium Mathematicum, Tome 80 (1999) no. 2, pp. 259-265
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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
Affiliations des auteurs :
Stéphane Louboutin 1
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author = {St\'ephane Louboutin},
title = {The class number one problem for the dihedral and dicyclic {CM-fields}},
journal = {Colloquium Mathematicum},
pages = {259--265},
year = {1999},
volume = {80},
number = {2},
doi = {10.4064/cm-80-2-259-265},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-80-2-259-265/}
}
TY - JOUR AU - Stéphane Louboutin TI - The class number one problem for the dihedral and dicyclic CM-fields JO - Colloquium Mathematicum PY - 1999 SP - 259 EP - 265 VL - 80 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/cm-80-2-259-265/ DO - 10.4064/cm-80-2-259-265 LA - en ID - 10_4064_cm_80_2_259_265 ER -
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
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