Pólya group in some real biquadratic fields

DOI10.1016/j.jnt.2021.04.012OpenAlexW3172301347WikidataQ114157002 ScholiaQ114157002MaRDI QIDQ2043467

Abbas Maarefparvar

Publication date: 2 August 2021

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2021.04.012

zbMATH Keywords

Galois cohomologyPólya fieldbiquadratic fieldHasse unit indexPólya group

Mathematics Subject Classification ID

Quadratic extensions (11R11) Cubic and quartic extensions (11R16) Galois cohomology (11R34)

Related Items (2)

Totally real bi-quadratic fields with large Pólya groups ⋮ Class numbers of certain families of totally real biquadratic fields and a result of Mollin

Uses Software

• PARI/GP

Cites Work

• Unnamed Item
• Units over totally real \(C_2\times C_2\) fields
• 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 \(\mathbb{Q}\)
• Integer-Valued Polynomials
• Class Number and Ramification in Number Fields

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