Finite groups with a prescribed number of cyclic subgroups
Marius Tărnăuceanu described the finite groups G having |G|−1 cyclic subgroups. We describe the finite groups G having |G|−Δ cyclic subgroups for Δ=2,3,4, and 5.
cyclic subgroups, finite group theory, structure of finite groups
Belshoff, Richard, Joe Dillstrom, and Les Reid. "Finite groups with a prescribed number of cyclic subgroups." Communications in Algebra 47, no. 3 (2019): 1043-1056.
Communications in Algebra