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 $$\mathbb{Z}_2m $$