Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 639476, 13 pages
doi:10.1155/2011/639476
Research Article

On the Basic k-nacci Sequences in Finite Groups

1Department of Mathematics, Faculty of Science and Letters, Kafkas University, 36100 Kars, Turkey
2Department of Mathematics, Faculty of Science, Atatürk University, 25240 Erzurum, Turkey

Received 13 December 2010; Accepted 16 March 2011

Academic Editor: Carlo Piccardi

Copyright © 2011 Ömür Deveci and Erdal Karaduman. 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.

Abstract

We define the basic k-nacci sequences and the basic periods of these sequences in finite groups, then we obtain the basic periods of the basic k-nacci sequences and the periods of the k-nacci sequences in symmetric group 𝑆 4 , its subgroups, and binary polyhedral groups which related with these groups.