Abstract
We construct an infinite family of real quadratic number fields with class group of $2$-$\operatorname{rank} =3$, $4$-$\operatorname{rank} =1$ and finite Hilbert $2$-class field tower.
Citation
A. Mouhib. "On $2$-class field towers of some real quadratic number fields with $2$-class groups of rank $3$." Illinois J. Math. 57 (4) 1009 - 1018, Winter 2013. https://doi.org/10.1215/ijm/1417442559
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