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On the Pólya Group of Some Imaginary Biquadratic Fields

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Non-Associative and Non-Commutative Algebra and Operator Theory

Part of the book series: Springer Proceedings in Mathematics & Statistics ((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.

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Author information

Authors and Affiliations

  1. Département de Mathématiques, Faculté des Sciences et Techniques, Université Moulay Ismail, Errachidia, Morocco

    Mohammed Taous

Authors
  1. Mohammed Taous
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Correspondence to Mohammed Taous .

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Editors and Affiliations

  1. Departement de Mathematiques et Informatique, Faculté des Sciences et Techniques, Université Cheikh Anta Diop, Dakar, Senegal

    Cheikh Thiécoumbe Gueye

  2. Department of Álgebra, Geometría y Topología, Facultad de Ciencias, Universidad de Málaga, Málaga, Spain

    Mercedes Siles Molina

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Taous, M. (2016). On the Pólya Group of Some Imaginary Biquadratic Fields. In: Gueye, C., Molina, M. (eds) Non-Associative and Non-Commutative Algebra and Operator Theory. Springer Proceedings in Mathematics & Statistics, vol 160. Springer, Cham. https://doi.org/10.1007/978-3-319-32902-4_12

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