Singular Manual: triangularGroup

| ##### 7.7.8.0. triangularGroup Procedure from library `fpalgebras.lib` (see fpalgebras_lib). Usage: triangularGroup(g,d); g an integer, d an integer Return: ring Note: - the ring contains the ideal I, which contains the required relations - g gives the number of the example (1 - 14) - d gives the degreebound for the Letterplace ring This is a family The examples are found in Classification of the finite generalized tetrahedron groups by Gerhard Rosenberger and Martin Scheer. The 14 examples are denoted in theorem 2.12 Example:
    LIB "fpalgebras.lib";
    def R = triangularGroup(3,10); setring R;
    I;
    ==> I[1]=a(1)*a(2)*a(3)+1
    ==> I[2]=b(1)*b(2)*b(3)+1
    ==> I[3]=a(1)*b(2)*a(3)*b(4)*b(5)*a(6)*b(7)*a(8)*b(9)*b(10)+1

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