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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 ( d ) that have a metacyclic nonabelian Hilbert 2 -class field tower.

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