The class number one problem for the dihedral and dicyclic CM-fields

Stéphane Louboutin

Colloquium Mathematicae (1999)

  • Volume: 80, Issue: 2, page 259-265
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Louboutin, Stéphane. "The class number one problem for the dihedral and dicyclic CM-fields." Colloquium Mathematicae 80.2 (1999): 259-265. <http://eudml.org/doc/210717>.

@article{Louboutin1999,
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.},
author = {Louboutin, Stéphane},
journal = {Colloquium Mathematicae},
keywords = {relative class number; CM-field; dihedral group; dicyclic group; CM-fields; class number one problems; dihedral fields; dicyclic fields},
language = {eng},
number = {2},
pages = {259-265},
title = {The class number one problem for the dihedral and dicyclic CM-fields},
url = {http://eudml.org/doc/210717},
volume = {80},
year = {1999},
}

TY - JOUR
AU - Louboutin, Stéphane
TI - The class number one problem for the dihedral and dicyclic CM-fields
JO - Colloquium Mathematicae
PY - 1999
VL - 80
IS - 2
SP - 259
EP - 265
AB - 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.
LA - eng
KW - relative class number; CM-field; dihedral group; dicyclic group; CM-fields; class number one problems; dihedral fields; dicyclic fields
UR - http://eudml.org/doc/210717
ER -

References

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