On \(2\)-class field towers of some real quadratic number fields with \(2\)-class groups of rank \(3\)

zbMath1302.11090MaRDI QIDQ485988

Ali Mouhib

Publication date: 14 January 2015

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

Full work available at URL: https://projecteuclid.org/euclid.ijm/1417442559

zbMATH Keywords

Galois extensionquadratic number field\(2\)-class groupsHilbert \(2\)-class field towers

Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)

Related Items (2)

A positive proportion of some quadratic number fields with infinite Hilbert 2-class field tower ⋮ Real quadratic number fields with metacyclic Hilbert $2$-class field tower

Cites Work

• On the parity of the class number of multiquadratic number fields
• Real quadratic fields with abelian 2-class field tower
• On 2-class field towers of some imaginary quadratic number fields
• Sur le rang du 2-groupe de classes de 𝑄({√{𝑚}},{√{𝑑}}) où 𝑚=2 ou un premier 𝑝≡1(𝑚𝑜𝑑4)
• Sur la borne inférieure du rang du 2-groupe de classes de certains corps multiquadratiques
• Quadratic fields with infinite Hilbert 2-class field towers

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