Munesh Kumari, Kalika Prasad, Bahar Kuloğlu, Engin Özkan, "The k-Fibonacci Group and Periods of the k-step Fibonacci Sequences," WSEAS Transactions on Mathematics, vol. 21, pp. 838-843, 2022, DOI:10.37394/23206.2022.21.95
Munesh Kumari, Kalika Prasad, Bahar Kuloğlu, Engin Özkan. The k-Fibonacci Group and Periods of the k-step Fibonacci Sequences.
WSEAS Transactions on Mathematics. 2022;21:838-843. 10.37394/23206.2022.21.95
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 21, 2022
The k-Fibonacci Group and Periods of the k-step Fibonacci Sequences
Authors: , , ,
Abstract: In this paper, we have introduced a new infinite cyclic group called the k-Fibonacci group and studied
its algebraic properties. Further, we have obtained periods for k-step Fibonacci sequences in the 2-generator
groups such as $$S_{3}, D_{3}, A_{3}, Q_{8}$$ and in the 3-generator group, $$Q_{8}$$ χ $$\mathbb{Z}_2m $$
Pages: 838-843 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 21, 2022, Art. #95 DOI: 10.37394/23206.2022.21.95
×
Citation Tools