Finite Groups with a Prescribed Number of Cyclic Subgroups

Richard Belshoff; Joe Dillstrom; Les Reid

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arXiv · 1806.06090

Finite Groups with a Prescribed Number of Cyclic Subgroups

Richard Belshoff·Joe Dillstrom·Les Reid

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Abstract

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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Richard Belshoff, Joe Dillstrom, Les Reid. 2018-06-15. Finite Groups with a Prescribed Number of Cyclic Subgroups. https://arxiv.org/abs/1806.06090

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