**Elahe Mehraban, Ömur Deveci and Evren Hincal**

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 29, 2023, Number 4, Pages 827–841

DOI: 10.7546/nntdm.2023.29.4.827-841

**Full paper (PDF, 320 Kb)**

## Details

### Authors and affiliations

Elahe Mehraban

*Department of Mathematics, Near East University TRNC
Mersin 10, Nicosia, 99138, Turkey *

Ömur Deveci

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

Evren Hincal

*Department of Mathematics, Near East University TRNC
Mersin 10, Nicosia, 99138, Turkey *

### Abstract

In this paper, we consider the 2-generator *p*-groups of nilpotency class 2. We will discuss the lengths of the periods of the *t*-Fibonacci sequences in these groups.

### Keywords

- Period
- Nilpotent group
*t*-Fibonacci sequence*p*-group

### 2020 Mathematics Subject Classification

- 20F05
- 11B39
- 20D60

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### Manuscript history

- Received: 28 September 2023
- Revised: 28 November 2023
- Accepted: 4 December 2023
- Online First: 23 December 2023

### Copyright information

Ⓒ 2023 by the Authors.

This is an Open Access paper distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License (CC BY 4.0).

## Related papers

- Atanassov, K., Dimitrov, D., & Shannon, A. (2009). A remark on
*ψ*-function and Fibonacci sequence.*Notes on Number Theory and Discrete Mathematics*, 15(1), 1–11.

## Cite this paper

Mehraban, E., Deveci, Ö., & Hincal, E. (2023). The *t*-Fibonacci sequences in the 2-generator *p*-groups of nilpotency class 2. *Notes on Number Theory and Discrete Mathematics*, 29(4), 827-841, DOI: 10.7546/nntdm.2023.29.4.827-841.