Singular Manual: baumslagSolitar

| #### 7.10.2.5 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) - negative input is only allowed in the group case! - d gives a degreebound and must be >m,n - varying n and m produces a family of examples Example:
    LIB "fpalgebras.lib";
    def R = baumslagSolitar(2,3,4); setring R;
    I;
    ==> I[1]=-b*a*a*a+a*a*b
    ==> I[2]=a*A-1
    ==> I[3]=b*B-1
    ==> I[4]=a*A-A*a
    ==> I[5]=b*B-B*b

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