Department of Mathematics, Faculty of Sicence, Atatürk University, 25240 Erzurum, Turkey
Copyright © 2009 Erdal Karaduman and Ömür Deveci. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A -nacci sequence in a finite group is a sequence of group elements
which, given an initial (seed) set
, each element is defined by
We also require that the initial elements of the sequence, , generate the group, thus forcing the -nacci sequence to reflect the structure of the group. The K-nacci sequence of a group generated by
is denoted by
and its period is
. In this paper, we obtain the period of K-nacci sequences in
finite polyhedral groups and the extended triangle groups.