پديدآورندگان :
Hashemi Mansour m hashemi@guilan.ac.ir Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Iran , Izadyar Matin matinizadyar1991@gmail.com Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Iran , Mehraban Elahe e.mehraban.math@gmail.com Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Iran
كليدواژه :
k , Pell sequence , generalized orderk , Pell sequence.
چكيده فارسي :
We consider the finite generated group Hm as follows:
Hm = {x;y|x^(m^2) = y^m = 1;y^(-1)xy = x^(1+m)}
In this paper, we study the generalized order k-Pell sequences of Hm for k = 2;3 and show that
the period of these sequences are a multiple of the period of the order k-Pell sequence of numbers.
