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ArticleOriginal scientific text

Title

The imaginary cyclic sextic fields with class numbers equal to their genus class numbers

Authors 1

Affiliations

  1. Département de Mathématiques, Université de Caen, UFR Sciences 14032 Caen Cedex, France

Abstract

It is known that there are only finitely many imaginary abelian number fields with class numbers equal to their genus class numbers. Here, we determine all the imaginary cyclic sextic fields with class numbers equal to their genus class numbers.

Keywords

ENG
relative class number, class number, genus field, sextic number field

Bibliography

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Colloquium Mathematicum
1998/75/2
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Pages:
205-212
Main language of publication
English
Received
1997-04-03
Accepted
1997-05-14
Published
1998
Exact and natural sciences