Cayley diagrams of groups of genus 0
On bounded pieces of plane

C1



C2


These would fit better on a cylinder
Those shown here are all based on 7. Similar diagrams exist
for any other integer.

C7



C7×C2



D14



D14



D14


These would fit better on a sphere

C2×C2



C2×C2



C2×C2×C2



D8



D8



A4



A4



A4



S4



S4



S4



S4



S4



S4×C2



A5



A5



A5



A5



A5×C2


Covering the whole plane
I do not know what groups these portray.
Click on any of these to see a larger region of the infinite plane.
On a bounded infinite strip of the plane
The groups portrayed are specified to the left.
Some more Cayley diagrams drawn on surfaces appropriate to their genus.
Some more Cayley diagrams
and other pages on groups
Copyright N.S.Wedd 2009