On the number of cyclic subgroups of a finite group
Bull. Korean Math. Soc. 2017 Vol. 54, No. 6, 2141-2147
https://doi.org/10.4134/BKMS.b160783
Published online November 30, 2017
Mohammad Hossein Jafari, Ali Reza Madadi
University of Tabriz, University of Tabriz
Abstract : Let $G$ be a finite group and $m$ a divisor of $|G|.$ We prove that $G$ has at least $\tau(m)$ cyclic subgroups whose orders divide $m$, where $\tau(m)$ is the number of divisors of $m.$
Keywords : cyclic subgroups, Sylow subgroups, arithmetic functions
MSC numbers : 20D15, 20D20, 11A25
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