The r-step Fibonacci-Hurwitz Sequences in the Binary Polyhedral Group (2,m,2)

摘要

In [1], Deveci et al. defined the r -step Fibonacci-Hurwitz sequences from the Hurwitz matrices obtained from the characteristic polynomial of the k -step Fibonacci sequence. Also, they extended the r -step Fibonacci-Hurwitz sequences to groups. In this work, we obtain the periods of the r -step Fibonacci-Hurwitz sequences in the binary polyhedral group (2,m, 2) for generating triple {x, y, z} and generating pair {y,z} by the aid of the periods of the r-step Fibonacci-Hurwitz sequences according to modulo m .