On the Pólya Group of Some Imaginary Biquadratic Fields

Conference paper
First Online:
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 160)

Abstract

In this paper, we will determine the Pólya group of the field \(k = \mathbb{Q}(\sqrt{d},i)\) and then we deduce a new method to characterize biquadratic Pólya fields \(k = \mathbb{Q}(\sqrt{d},i)\). The capitulation theory allows us to construct a family of imaginary triquadratic Pólya fields.

Keywords

Pólya field Pólya groups Unramified quadratic and biquadratic extensions 
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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Département de Mathématiques, Faculté des Sciences et TechniquesUniversité Moulay IsmailErrachidiaMorocco

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