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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## Details

### Authors and affiliations

Ömür Deveci

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

### Abstract

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 *D*_{2m} and the ring *E* for the generating pairs (*a*, *b*) and (*b*, *a*) as applications of the results obtained.

### Keywords

- Double Fibonacci sequence
- Group
- Ring
- Period

### 2010 Mathematics Subject Classification

- 11B39
- 16P10
- 20D60

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## Cite this paper

APADeveci, 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.

ChicagoDeveci, 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.

MLADeveci, 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.