Singular Manual: fibonacciGroup

| ##### 7.7.8.0. fibonacciGroup Procedure from library `fpalgebras.lib` (see fpalgebras_lib). Usage: fibonacciGroup(m,d); m an integer, d an integer Return: ring Note: - the ring contains the ideal I, which contains the required relations - The Fibonacci group F(2, m) with the following presentation < x_1, x_2, ... , x_m | x_i * x_(i + 1) = x_(i + 2) > - d gives the degreebound for the Letterplace ring This is a family Example:
    LIB "fpalgebras.lib";
    def R = fibonacciGroup(3,5); setring R;
    I;
    ==> I[1]=x(1)(1)*x(2)(2)+x(3)(1)
    ==> I[2]=x(1)(1)*Y(1)(2)+1
    ==> I[3]=Y(1)(1)*x(1)(2)+1
    ==> I[4]=x(2)(1)*Y(2)(2)+1
    ==> I[5]=Y(2)(1)*x(2)(2)+1
    ==> I[6]=x(3)(1)*Y(3)(2)+1
    ==> I[7]=Y(3)(1)*x(3)(2)+1

User manual for Singular version 4-1-1p3, 2018, generated by texi2html.