On the 2-class group of real multiquadratic fields

DOI10.5802/JTNB.511zbMath1090.11069OpenAlexW2063684266MaRDI QIDQ819866

Ali Mouhib, Abbas Movahhedi

Publication date: 30 March 2006

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2005__17_2_619_0

zbMATH Keywords

real quadratic fieldsmultiquadratic fields2-class group

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (3)

Invariant generalized ideal classes -- structure theorems for \(p\)-class groups in \(p\)-extensions ⋮ Structure of 2-class groups in the \(\mathbb{Z}_2\)-extensions of certain real quadratic fields ⋮ On the parity of the class number of multiquadratic number fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Class numbers of cyclotomic fields
• Real quadratic fields with abelian 2-class field tower
• Imaginary quadratic fields \(k\) with cyclic \(\text{Cl}_2(k^1)\)
• On the parity of the class number of the field \(\mathbb Q(\sqrt p,\sqrt q,\sqrt r)\)
• Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). I
• Über die Lösbarkeit der Gleichung \(t^2-Du^2=-4\)
• On the parity of the class number of a biquadratic field
• Sur le rang du 2-groupe de classes de 𝑄({√{𝑚}},{√{𝑑}}) où 𝑚=2 ou un premier 𝑝≡1(𝑚𝑜𝑑4)
• Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields
• On knots in algebraic number theory.
• Ideal class groups of cyclotomic number fields II
• Capitulation des 2-classes d'idéaux de Q(\sqrt 2,\sqrt d) où d est un entier naturel sans facteurs carrés
• Galois module structure of units in real biquadratic number fields

This page was built for publication: On the 2-class group of real multiquadratic fields