%0 Journal Article
%T The Generalized Order- Lucas Sequences in Finite Groups
%A m¨¹r Deveci
%A Erdal Karaduman
%J Journal of Applied Mathematics
%D 2012
%I Hindawi Publishing Corporation
%R 10.1155/2012/464580
%X We study the generalized order- Lucas sequences modulo . Also, we define the th generalized order- Lucas orbit ,{1,2,¡­,£¿1}() with respect to the generating set  and the constants 1,2, and £¿1 for a finite group =£¿£¿. Then, we obtain the lengths of the periods of the th generalized order- Lucas orbits of the binary polyhedral groups £¿,2,2£¿,£¿2,,2£¿,£¿2,2,£¿ and the polyhedral groups (,2,2),(2,,2),(2,2,) for 1¡Ü¡Ü.
%U http://www.hindawi.com/journals/jam/2012/464580/