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7.10.2.7 crystallographicGroupP1

Procedure from library fpalgebras.lib (see fpalgebras_lib).

Usage:
crystallographicGroupP1(d); d an integer

Return:
ring

Note:
- the ring contains the ideal I, which contains the required relations - p1 group with the following presentation
< x, y | [x, y] = 1 >
-d gives the degreebound for the Letterplace ring

Example:
 
LIB "fpalgebras.lib";
def R = crystallographicGroupP1(5); setring R;
I;
==> I[1]=y*x+x*y+1
==> I[2]=X*x+1
==> I[3]=x*X+1
==> I[4]=y*Y+1
==> I[5]=Y*y+1