Real Quadratic Number Fields with 2-Class Group of Type (2,2).

DOI10.7146/MATH.SCAND.A-12532zbMath0847.11058OpenAlexW2531075461MaRDI QIDQ4873878

Chip Snyder, Elliot Benjamin

Publication date: 6 June 1996

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/167333

zbMATH Keywords

Galois groupreal quadratic fieldcapitulationideal class group2-class group2-Hilbert class field

Mathematics Subject Classification ID

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

Related Items (17)

On metabelian 2-class field towers over -extensions of real quadratic fields ⋮ On the metacyclic 2-groups whose abelianizations are of type \((2, 2^n)\), \(n\geq 2\) and applications ⋮ Transfers of metabelian \(p\)-groups ⋮ Imaginary quadratic fields with \(Cl_2(k)\simeq (2,2,2)\). ⋮ On the Hilbert 2-class field of some quadratic number fields ⋮ On the maximal unramified pro-2-extension of \(\mathbb Z_2\)-extensions of certain real quadratic fields. ⋮ On the second Hilbert 2-class field of real quadratic number fields with 2-class group isomorphic to \((2,2^n)\), \(n\geq 2\) ⋮ The narrow 2-class field tower of some real quadratic number fields ⋮ LE 2-RANG DU GROUPE DE CLASSES DE CERTAINS CORPS BIQUADRATIQUES ET APPLICATIONS ⋮ Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group ⋮ A note on semidihedral 2-class field towers and \(\mathbb {Z}_{2}\)-extensions ⋮ On the \(p\)-class tower of a \(\mathbb Z_p\)-extension ⋮ On the parity of the class number of multiquadratic number fields ⋮ Real quadratic fields with abelian 2-class field tower ⋮ Capitulation of the 2-class group of some cyclic number fields with large degree ⋮ On 2-class field towers for quadratic number fields with 2-class group of type (2,2) ⋮ Tame pro-2 Galois groups and the basic ℤ₂-extension

This page was built for publication: Real Quadratic Number Fields with 2-Class Group of Type (2,2).