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Periodica Mathematica Hungarica

, Volume 78, Issue 1, pp 128–134 | Cite as

On the rank of the 2-class group of an extension of degree 8 over \(\mathbb {Q}\)

  • A. Azizi
  • I. JerrariEmail author
  • M. Talbi
Article
  • 45 Downloads

Abstract

Let K be an imaginary cyclic quartic number field whose 2-class group is nontrivial, it is known that there exists at least one unramified quadratic extension F of K. In this paper, we compute the rank of the 2-class group of the field F.

Keywords

2-class groups Capitulation Cyclic quartic number field 

Mathematics Subject Classification

11R16 11R11 11R29 11R37 

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of SciencesMohammed First UniversityOujdaMorocco
  2. 2.Regional Center of Education and TrainingOujdaMorocco

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