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Real quadratic number fields with metacyclic Hilbert $2$ -class field tower

Said Essahel; Ahmed Dakkak; Ali Mouhib — 2019

Mathematica Bohemica

We begin by giving a criterion for a number field $K$ with 2-class group of rank 2 to have a metacyclic Hilbert 2-class field tower, and then we will determine all real quadratic number fields $ℚ (\sqrt{d})$ that have a metacyclic nonabelian Hilbert $2$ -class field tower.

Eigencurves of the $p$ -Laplacian with weights and their asymptotic behavior.

Dakkak, Ahmed; Hadda, Mohammed — 2007

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Real quadratic number fields with metacyclic Hilbert 2 -class field tower

Eigencurves of the p -Laplacian with weights and their asymptotic behavior.

Real quadratic number fields with metacyclic Hilbert $2$ -class field tower

Eigencurves of the $p$ -Laplacian with weights and their asymptotic behavior.