Addendum to "Finite groups with a prescribed number of cyclic subgroups".

In [Tărnăuceanu, M. (2015). Finite groups with a certain number of cyclic subgroups. Amer. Math. Monthly. 122:275–276], Tărnăuceanu described the finite groups G having exactly cyclic subgroups. In [Belshoff, R., Dillstrom, J., Reid, L. Finite groups with a prescribed number of cyclic subgroups. To appear in Communications in Algebra], the authors used elementary methods to completely characterize those finite groups G having exactly cyclic subgroups for Δ = 2, 3, 4 and 5. In this paper, we prove that for any Δ > 0 if G has exactly cyclic subgroups, then and therefore the number of such G is finite. We then use the computer program GAP to find all G with exactly cyclic subgroups for. [ABSTRACT FROM AUTHOR]