scientific article; zbMATH DE number 874671

zbMath0956.11515MaRDI QIDQ4877105

Franz Lemmermeyer

Publication date: 6 May 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Class field theory (11R37)

Related Items (8)

Determination of all imaginary quadratic fields for which their Hilbert 2-class fields have 2-class groups of rank 2 ⋮ Classification of metabelian 2-groups \(G\) with \(\mathbf{G}^{\mathrm{ab}} (\mathbf{2},\mathbf{2}^{\mathbf n})\), \(\mathbf n\geq \mathbf 2\), and rank \(\mathbf d(\mathbf G^{\prime})=\mathbf 2\). Applications to real quadratic number fields ⋮ Unramified quaternion extensions of quadratic number fields ⋮ Some real quadratic number fields whose Hilbert 2-class fields have class number congruent to 2 modulo 4 ⋮ The narrow 2-class field tower of some real quadratic number fields ⋮ Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group ⋮ On 2-class field towers of imaginary quadratic number fields ⋮ Refined lower bounds on the 2-class number of the Hilbert 2-class field of imaginary quadratic number fields with elementary 2-class group of rank 3

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