Singular Manual: triangularGroup

| #### 7.10.2.28 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 - varying g produces a family of examples 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*a*a+1
    ==> I[2]=b*b*b+1
    ==> I[3]=a*b*a*b*b*a*b*a*b*b+1

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