The cyclic-Fibonacci hybrid sequence in groups

Document Type : Research Paper

Authors

1 Department of Mathematics, Karamanoglu Mehmetbey University, Karaman, Turkey

2 Department of Mathematics, Kafkas University, Kars, Turkey

Abstract

The aim of this paper is to introduce the cyclic-Fibonacci hybrid sequence and give some properties. By taking into account the cyclic-Fibonacci hybrid sequence modulo $m$, the method will be given to determine the period lengths of this sequence according to the different $m$ values. In the final part of this paper, we study the cyclic-Fibonacci hybrid sequence in groups and then we calculate the cyclic-Fibonacci hybrid lengths of polyhedral groups $(2,2,2)$, $(2,n,2)$ and $(n,2,2)$ as applications of the results produced.

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References

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History

  • Receive Date: 03 February 2024
  • Revise Date: 26 April 2024
  • Accept Date: 22 May 2024

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