Cosets Generated by Product of Generators
I have created the following group:
sage: F.<x,y> = FreeGroup() sage: G = F / [x^3, y^2, (x*y)^5] sage: G Finitely presented group < x, y | x^3, y^2, (x*y)^5 >
I would like to list the distinct cosets generated by <x*y>. I think there should be 12, but I have tried different code with no luck.