Singular Manual: baumslagSolitar

| ##### 7.7.8.0. baumslagSolitar Procedure from library `fpalgebras.lib` (see fpalgebras_lib). Usage: baumslagSolitar(m,n,d[,IsGroup]); n an integer, m an integer, d an integer, IsGroup an optional integer Return: ring Note: - the ring contains the ideal I, which contains the required relations - in the group case: A = a^(-1), B = b^(-1) - negativ input is only allowed in the group case! - d gives a degreebound and must be >m,n This is a family Example:
    LIB "fpalgebras.lib";
    def R = baumslagSolitar(2,3,4); setring R;
    I;
    ==> I[1]=-b(1)*a(2)*a(3)*a(4)+a(1)*a(2)*b(3)
    ==> I[2]=a(1)*A(2)-1
    ==> I[3]=b(1)*B(2)-1
    ==> I[4]=a(1)*A(2)-A(1)*a(2)
    ==> I[5]=b(1)*B(2)-B(1)*b(2)

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