The double Fibonacci sequences in groups and rings

Ömür Deveci
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 24, 2018, Number 2, Pages 32—39
DOI: 10.7546/nntdm.2018.24.2.32-39
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Authors and affiliations

Ömür Deveci
Department of Mathematics, Faculty of Science and Letters
Kafkas University 36100, Turkey


In this paper, we define the double Fibonacci sequence and the basic double Fibonacci sequence in groups and rings. Then we examine these sequences in finite 2-generator groups and rings. Also, we obtain the periods of the double Fibonacci sequences and the basic double Fibonacci sequences in the dihedral group D2m and the ring E for the generating pairs (a, b) and (b, a) as applications of the results obtained.


  • Double Fibonacci sequence
  • Group
  • Ring
  • Period

2010 Mathematics Subject Classification

  • 11B39
  • 16P10
  • 20D60


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Cite this paper


Deveci, Ö. (2018). The double Fibonacci sequences in groups and rings. Notes on Number Theory and Discrete Mathematics, 24(2), 32-39, doi: 10.7546/nntdm.2018.24.2.32-39.


Deveci, Ömür. “The Double Fibonacci sequences in Groups and Rings.” Notes on Number Theory and Discrete Mathematics 24, no. 2 (2018): 32-39, doi: 10.7546/nntdm.2018.24.2.32-39.


Deveci, Ömür. “The Double Fibonacci Sequences in Groups and Rings.” Notes on Number Theory and Discrete Mathematics 24.2 (2018): 32-39. Print, doi: 10.7546/nntdm.2018.24.2.32-39.

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