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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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