Top
Back: crystallographicGroupP1
Forward: crystallographicGroupPG
FastBack:
FastForward:
Up: fpalgebras_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

7.10.2.8 crystallographicGroupPM

Procedure from library fpalgebras.lib (see fpalgebras_lib).

Usage:
crystallographicGroupPM(d); d an integer

Return:
ring

Note:
- the ring contains the ideal I, which contains the required relations - pm group with the following presentation
< x, y, m | [x, y] = m^2 = 1, m^(-1)*x*m = x, m^(-1)*y*m = y^(-1) > - d gives the degreebound for the Letterplace ring

Example:
 
LIB "fpalgebras.lib";
def R = crystallographicGroupPM(5); setring R;
I;
==> I[1]=y*x+x*y+1
==> I[2]=y*x+x*y+m*m
==> I[3]=m*m+1
==> I[4]=m*x*m+x
==> I[5]=m*y*m+Y
==> I[6]=x*X+1
==> I[7]=X*x+1
==> I[8]=Y*y+1
==> I[9]=y*Y+1


Top Back: crystallographicGroupP1 Forward: crystallographicGroupPG FastBack: FastForward: Up: fpalgebras_lib Top: Singular Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 4.3.1, 2022, generated by texi2html.