The k-Fibonacci group and periods of the k-step Fibonacci sequences
WSEAS Transactions on Mathematics, vol.21, pp.838-843, 2022 (Scopus)
- Publication Type: Article / Article
- Volume: 21
- Publication Date: 2022
- Doi Number: 10.37394/23206.2022.21.95
- Journal Name: WSEAS Transactions on Mathematics
- Journal Indexes: Scopus, INSPEC, zbMATH
- Page Numbers: pp.838-843
- Keywords: Fibonacci Group, k-step Fibonacci sequence, Period and Basic Period
- Open Archive Collection: AVESIS Open Access Collection
- Erzincan Binali Yildirim University Affiliated: Yes
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 S3, D3, A3, Q8 and in the 3-generator group, Q8 × Z2m.