The Fibonacci-circulant sequences in the binary polyhedral groups

نویسندگان
doi
10.22108/ijgt.2020.120894.1593
چکیده

In 2017 Deveci et al‎. ‎defined the Fibonacci-circulant sequences of the first and second kinds as shown‎, ‎respectively:‎$x_n^1 = -x_(n-1)^1+x_(n-2)^1-x_(n-3)^1$ for $n≥4$,where $x_1^1=x_2^1=0$ and $x_3^1=1$ and$x_n^2 = -x_(n-3)^2-x_(n-4)^2+x_(n-5)^2 for n≥6$, where $x_1^2=x_2^2=x_3^2=x_4^2=0$ and $x_5^2=1$‎Also‎, ‎they extended the Fibonacci-circulant sequences of the first and second kinds to groups‎. ‎In this paper‎, ‎we obtain the periods of the Fibonacci-circulant sequences of the first and second kinds in the binary polyhedral groups‎.