Review of The Fibonacci Sequences In Finite Groups

Authors : Ömür DEVECI, Erdal KARADUMAN

Pages : 55-59

View : 32 | Download : 10

Publication Date : 2009-12-31

Article Type : Review Paper

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

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