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) identifier

  • 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
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

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.