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arxiv: 1605.00193 · v1 · submitted 2016-05-01 · 🧮 math.GR

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On the number of cyclic subgroup in finite groups

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classification 🧮 math.GR
keywords cyclicfinitegroupsnumbersubgroupscongcyliconly
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We study the number of cylic subgroups in finite groups and get that $G$ has $|G|-3$ cyclic subgroups if and only if $G \cong D_{10}$ or $Q_8$.

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