- Kafkas Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 2 Issue: 2
- Review of The Fibonacci Sequences In Finite Groups
Review of The Fibonacci Sequences In Finite Groups
Authors : Ömür Deveci, Erdal Karaduman
Pages : 55-59
View : 7 | Download : 5
Publication Date : 2009-12-31
Article Type : Review
Abstract :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