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arxiv: 1806.06090 · v1 · pith:IOOBLKEFnew · submitted 2018-06-15 · 🧮 math.GR

Finite Groups with a Prescribed Number of Cyclic Subgroups

classification 🧮 math.GR
keywords cyclicfinitegroupssubgroupsdeltahavingdescribedescribed
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Marius T\u{a}rn\u{a}uceanu described the finite groups $G$ having $|G|-1$ cyclic subgroups. We describe the finite groups $G$ having $|G|-\Delta$ cyclic subgroups for $\Delta=2, 3, 4$ and $5$.

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