The k-Fibonacci group and periods of the k-step Fibonacci sequences

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Kumari M., Prasad K., Kuloǧlu B., ÖZKAN E.

WSEAS Transactions on Mathematics, cilt.21, ss.838-843, 2022 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 21
• Basım Tarihi: 2022
• Doi Numarası: 10.37394/23206.2022.21.95
• Dergi Adı: WSEAS Transactions on Mathematics
• Derginin Tarandığı İndeksler: Scopus, INSPEC, zbMATH
• Sayfa Sayıları: ss.838-843
• Anahtar Kelimeler: Fibonacci Group, k-step Fibonacci sequence, Period and Basic Period
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Marmara Üniversitesi Adresli: Hayır

Özet

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.