Symmetry Group Presentation Examples
Try out these symmetry group presentations in
Unifweb.
- Wiman's Curve:
< a,b | a^6, b^4, (a*b)^2, (b^-1*a)^3 >
- Fermat's Quartic:
< a,b | a^8, b^2, (a*b)^3, a^-1*b*a^-3*b*a^-3*b*a^-2 >
- Symmetry Group of the Cube (acting on genus 3 surfaces):
< a,b,c | a^3, b^2, c^2, (a*b*c)^2, (b*a)^2*c^-1 >
- Symmetry Group of the Cube (acting on genus 5 surfaces):
< a,b,c | a^3, b^2, c^2, (a*b*c)^3, (a*b)^4, (a*c)^2, (b*c)^2 >
- Symmetry Group of the Cube (acting on genus 5 surfaces another way):
< a,b,c | a^3, b^3, c^2, (a*b*c)^2, (a*b)^2, (a*c)^4, (b*c)^2 >
- Symmetry Group of the Square:
< a,b,c | a^4, b^2, c^2, (a*b*c)^2, c*b*a >
- Symmetric Group on Six Letters:
< a,b | a^6, b^2, (a*b)^5, (a*b*a^-1*b)^3, (a^2*b*a^-2*b)^2 >