The generalized Rédei-matrix

DOI10.1007/s00209-008-0311-zzbMath1243.11110OpenAlexW2051405037MaRDI QIDQ957914

Qin Yue

Publication date: 1 December 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-008-0311-z

zbMATH Keywords

Hilbert symbolquadratic extensionsgenus theoryRedei matrices

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class groups and Picard groups of orders (11R65)

Related Items (17)

Invariant generalized ideal classes -- structure theorems for \(p\)-class groups in \(p\)-extensions ⋮ On the class groups of certain imaginary cyclic fields of 2-power degree ⋮ Hilbert genus fields of imaginary biquadratic fields ⋮ On Hilbert 2-class fields and 2-towers of imaginary quadratic number fields ⋮ Hilbert genus fields of some number fields with high degrees ⋮ The generalized Rédei-matrix for function fields ⋮ Hilbert genus fields of biquadratic fields ⋮ The 4-Rank of the Class Group of Some Real Pure Quartic Number Fields ⋮ Hilbert genus fields of real biquadratic fields ⋮ On the class group of an imaginary cyclic field of conductor \(8p\) and \(2\)-power degree ⋮ Hilbert genus fields of real biquadratic fields ⋮ 3-Class groups of cubic cyclic function fields ⋮ Genus fields of real biquadratic fields ⋮ On the quotients of the maximal unramified 2-extension of a number field ⋮ 2-Class groups of cyclotomic towers of imaginary biquadratic fields and applications ⋮ On the 2-rank and 4-rank of the class group of some real pure quartic number fields ⋮ Kuroda's formula and arithmetic statistics

Cites Work

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• Hilbert class fields of real biquadratic fields
• Imaginary quadratic fields with \(Cl_2(k)\simeq (2,2,2)\).
• Tame kernels for biquadratic number fields
• Kuroda's class number formula
• Tame kernels under relative quadratic extensions and Hilbert symbols

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