I know that a polycyclic group is a finitely generated solvable group. Also I know that, in the case of finite groups, the two notions: polycyclic group and solvable group are equivalent. But I can not find an example of a finitely generated solvable group which is not polycyclic.
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Yes! Many thanks! – Stamatina Dellaporta Dec 14 '20 at 16:30