Document Type : Regular Paper
Authors
1
Department of Mathematics, Faculty of Science and Letters, Kafkas University, Turkey
2
Ataturk University, Department of Mathematics, Faculty of Science, Erzurum, Turkey
Abstract
A k-nacci sequence in a finite group is a sequence of group elements x0 , x1, x2 ,, xn , for
which, given an initial (seed) set 0 1 2 1 , , , ,j x x x x , each element is defined by
0 1 1
1 1
for ,
for .
n
n
n k n k n
xx x j n k
x
x x x n k
In this paper, we examine the periods of the k-nacci sequences in Miller’s generalization of the polyhedral
groups 2,2 2;q , n,2 2;q , 2, n 2;q , 2,2 n;q , for any n 2 .
Keywords
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