LE 2-RANG DU GROUPE DE CLASSES DE CERTAINS CORPS BIQUADRATIQUES ET APPLICATIONS

DOI10.1142/S0129167X04002235zbMath1051.11057MaRDI QIDQ3043665

Ali Mouhib, Abdelmalek Azizi

Publication date: 6 August 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

discriminant4-rankunit groupnorm residue symbol2-class groupbiquadratic number field2-class field tower

Mathematics Subject Classification ID

Units and factorization (11R27) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)

Related Items (6)

The2-rankof the class group of some real cyclic quartic number fields II ⋮ The 2-rank of the real pure quartic number field \(K= \mathbb{Q}(\sqrt[4{pd^{2}})\)] ⋮ The 2-class group of certain families of imaginary triquadratic fields ⋮ On the rank of the 2-class group of some imaginary triquadratic number fields ⋮ The 2-rank of the class group of some real cyclic quartic number fields ⋮ On the 2-rank and 4-rank of the class group of some real pure quartic number fields

Cites Work

• Tours de corps de classes et estimations de discriminants
• On a theorem of Koch
• Imaginary bicyclic biquadratic fields with cyclic 2-class group
• Sur le rang du 2-groupe de classes de 𝑄({√{𝑚}},{√{𝑑}}) où 𝑚=2 ou un premier 𝑝≡1(𝑚𝑜𝑑4)
• Über Den Bizyklischen Biquadratischen Zahlkörper
• The 2-Rank of the Class Group of Imaginary Bicyclic Biquadratic Fields
• Capitulation des 2-classes d'idéaux de Q(\sqrt 2,\sqrt d) où d est un entier naturel sans facteurs carrés
• Real Quadratic Number Fields with 2-Class Group of Type (2,2).

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