Existence of relative integral basis over quadratic fields and Pólya property

DOI10.1007/s10474-021-01158-2zbMath1488.11164OpenAlexW3168623550MaRDI QIDQ2043759

Abbas Maarefparvar

Publication date: 3 August 2021

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-021-01158-2

zbMATH Keywords

quadratic fieldPólya fieldbiquadratic fieldrelative integral basis

Mathematics Subject Classification ID

Quadratic extensions (11R11) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04)

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Totally real bi-quadratic fields with large Pólya groups ⋮ On quadratic Ostrowski extensions of imaginary quadratic fields

Cites Work

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• Cubic, quartic and sextic Pólya fields
• Integer valued polynomials over a number field
• From Pólya fields to Pólya groups. I: Galois extensions
• Relative Pólya group and Pólya dihedral extensions of \(\mathbb{Q}\)
• On Integral Bases
• PólyaS₃-extensions of ℚ
• Integers of Biquadratic Fields

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