Hilbert genus fields of real biquadratic fields

DOI10.1007/S11139-014-9558-7zbMath1322.11117OpenAlexW1980921640MaRDI QIDQ5919753

Zhe Zhang, Yi Ouyang

Publication date: 2 June 2015

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-014-9558-7

zbMATH Keywords

Class groupHilbert genus fieldsreal biquadratic fields

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)

Related Items (5)

On Hilbert genus fields of imaginary cyclic quartic fields ⋮ Hilbert genus fields of some number fields with high degrees ⋮ Hilbert genus fields of real biquadratic fields ⋮ Kuroda's formula and arithmetic statistics ⋮ The construction of the Hilbert genus fields of real cyclic quartic fields

Cites Work

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• The generalized Rédei-matrix
• Hilbert class fields of real biquadratic fields
• Imaginary bicyclic biquadratic fields with cyclic 2-class group
• Genus fields of real biquadratic fields
• Fundamental units of real quadratic fields of odd class number
• Hilbert genus fields of real biquadratic fields
• Hilbert genus fields of real biquadratic fields

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