Richard G. Belshoff

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math.GR2018

Finite Groups with a Prescribed Number of Cyclic Subgroups II

Richard Belshoff, Joe Dillstrom, Les Reid

Tărnăuceanu described the finite groups $G$ having exactly $∣ G ∣ - 1$ cyclic subgroups. In "Finite Groups with a Prescribed Number of Cyclic Subgroups,", we used elementary methods to…

math.GR2018

Finite Groups with a Prescribed Number of Cyclic Subgroups

Richard Belshoff, Joe Dillstrom, Les Reid

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 $5$ .