Review of The Fibonacci Sequences In Finite Groups

Year 2009, Volume: 2 Issue: 2, 55 - 59, 31.12.2009

Ömür Devecı Erdal Karaduman

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

References

• Aydın H and Dikici R, 1998. General Fibonacci sequences in finite groups. Fibonacci Quart, 36 (3), 216-221.