Some non-Pólya biquadratic fields with low ramification

DOI10.4171/RMI/963zbMath1433.11121OpenAlexW2761119787MaRDI QIDQ1676068

Ali Rajaei, Bahar Heidaryan

Publication date: 3 November 2017

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rmi/963

zbMATH Keywords

integer-valued polynomialsbiquadratic fieldsPólya fieldsHasse unit index

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Algebraic numbers; rings of algebraic integers (11R04) Other abelian and metabelian extensions (11R20)

Related Items (8)

Totally real bi-quadratic fields with large Pólya groups ⋮ Class numbers of certain families of totally real biquadratic fields and a result of Mollin ⋮ Non-Pólya bi-quadratic fields with an Euclidean ideal class ⋮ Some questions on biquadratic Pólya fields ⋮ PÓLYA FIELDS THAT ARE SPLITTING FIELDS OF S3-FIELDS ⋮ PólyaS₃-extensions of ℚ ⋮ From Pólya fields to Pólya groups. I: Galois extensions ⋮ Relative Pólya group and Pólya dihedral extensions of \(\mathbb{Q}\)

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