I have the abelian group (let's say, $Z_5^2$). I want to represent its Cayley graph as a grid, in which the element $a^i b^j$ occupies the $[i,j]$ position in the plane. For that, I need would need a method .pos()
. which did the following.
A = groups.presentation.FGAbelian([n,n]);
e=A[2]
-->e=aba^-1
e.pos()
--> [0,1]
How can I create something like that?