Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON THE NUMBER OF CYCLIC SUBGROUPS OF A FINITE GROUP

  • Jafari, Mohammad Hossein (Department of Pure Mathematics Faculty of Mathematical Sciences University of Tabriz) ;
  • Madadi, Ali Reza (Department of Pure Mathematics Faculty of Mathematical Sciences University of Tabriz)
  • Received : 2016.09.29
  • Accepted : 2017.02.13
  • Published : 2017.11.30
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Abstract

Let G be a finite group and m a divisor of ${\mid}G{\mid}$. 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.

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References

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