Journals / Kafkas Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2009 / Cilt: 2 - Sayı: 2

Review of The Fibonacci Sequences In Finite Groups

Pages
55–59
DOI
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Özet

In the work of Knox, Steven W. (1992), it is claimed that “A k-nacci sequence in a finite group is simply periodic (Knox, 1992).” We provide examples to demonstrate that the claim isn’t true ingeneral and we indicate that there is at least a simply periodic k-nacci sequence in a finite group.

Keywords: Fibonacci sequences, Period, Binary polyhedral group, Extended triangle group. Mathematics Subject Classification Number: 20F05, 20D60, 11B39