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arXiv · 1502.06906

Finite groups with a certain number of cyclic subgroups

Marius Tarnauceanu
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Abstract

In this short note, we describe the finite groups $G$ having $|G|-1$ cyclic subgroups. This leads to a nice characterization of the symmetric group $S_3$.

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Marius Tarnauceanu. 2015-02-17. Finite groups with a certain number of cyclic subgroups. https://arxiv.org/abs/1502.06906

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