The Generalized Order-k Jacobsthal Lengths of The Some Centro-Polyhedral Groups

In [7], the authors defined the generalized order-k Jacobsthal orbit for a finitely generated group , where as following: the generalized order-k Jacobsthal orbit with respect to the generating set to be the sequence of the elements of such that for for . The length of the period of the generalized order-k Jacobsthal orbit is denoted by and is called the generalized order-k Jacobsthal length of [7]. In this study, we obtain the generalized order-k Jacobsthal lengths of the centro-polyhedral groups .