The t-Fibonacci sequences in the 2-generator p-groups of nilpotency class 2

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
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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).

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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.

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