Cyclicity of the 2-class group of the first Hilbert 2-class field of some number fields

A Azizi, M Rezzougui, A Zekhnini

Let $\mathds{k}$ be a real quadratic number field. Denote by $\mathrm{Cl}_2(\mathds{k})$ its $2$-class group and by $\mathds{k}_2^{(1)}$ (resp. $\mathds{k}_2^{(2)}$) its first (res…