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manuscripta mathematica

, Volume 65, Issue 4, pp 465–477 | Cite as

On the class numbers of cyclotomic fields

  • Kuniaki Horie
Article

Abstract

The finiteness of the number of cyclotomic fields whose relative class numbers have bounded odd parts will be verified and then all the cyclotomic fields with relative class numbers non-trivial 2-powers will be determined.

Keywords

Number Theory Algebraic Geometry Topological Group Class Number Relative Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Kuniaki Horie
    • 1
  1. 1.Department of MathematicsYamaguchi UniversityYamaguchiJapan

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