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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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