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genus theory for function fields

  • Published:1996-06 Issue:3 Volume:60 Page:301-310
  • ISSN:0263-6115
  • Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
  • language:en
  • Short-container-title:J Aust Math Soc A

Author:

Bae Sunghan,Koo Ja Kyung

Abstract

AbstractWe study the genus theory for function fields which is the analogue of the classical genus theory developed by Hasse and Fröhlich.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference6 articles.

1. The Hilbert class field in function fields;Rosen;Exposition. Math.,1987

2. Stickelberger elements in function fields;Hayes;Compositio Math.,1985

3. Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields

4. Explicit class field theory for rational function fields

5. Zur Geschlechtertheorie in quadratischen Zahlkörpern

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1. Infinite families of Artin–Schreier function fields with any prescribed class group rank;Canadian Journal of Mathematics;2023-10-19

2. Class fields, Dirichlet characters, and extended genus fields of global function fields;Mathematische Nachrichten;2023-06-07

3. Genus Field and Extended Genus Field of an Elementary Abelian Extension of Global Fields;Bulletin of the Brazilian Mathematical Society, New Series;2023-03-25

4. Genus fields of Kummer ℓn-cyclic extensions;International Journal of Mathematics;2021-07-01

5. Genus fields of abelian extensions of rational congruence function fields, II;Rocky Mountain Journal of Mathematics;2018-12-01
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