Top
Back: crystallographicGroupC2MM
Forward: crystallographicGroupP4MM
FastBack:
FastForward:
Up: fpalgebras_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

7.10.2.15 crystallographicGroupP4

Procedure from library fpalgebras.lib (see fpalgebras_lib).

Usage:
crystallographicGroupP4(d); d an integer

Return:
ring

Note:
- the ring contains the ideal I, which contains the required relations - p4 group with the following presentation
< x, y, r | [x, y] = r^4 = 1, r^(-1)*x*r = x^(-1), r^(-1)*x*r = y > - d gives the degreebound for the Letterplace ring

Example:
 
LIB "fpalgebras.lib";
def R = crystallographicGroupP4(5); setring R;
I;
==> I[1]=y*x+x*y+1
==> I[2]=r*r*r*r+y*x+x*y
==> I[3]=r*r*r*r+1
==> I[4]=r*r*r*x*r+X
==> I[5]=r*r*r*x*r+y
==> I[6]=X*x+1
==> I[7]=x*X+1
==> I[8]=Y*y+1
==> I[9]=y*Y+1


Top Back: crystallographicGroupC2MM Forward: crystallographicGroupP4MM 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.