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### Cosets Generated by Product of Generators

I have created the following group: F.<x,y> = FreeGroup() G = F / [x^3, y^2, (xy)^5] G Finitely presented group < x, y | x^3, y^2, (xy)^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.

 2 code vdelecroix 7157 ●16 ●78 ●156 http://www.labri.fr/pe...

### Cosets Generated by Product of Generators

I have created the following group: group:

sage: F.<x,y> = FreeGroup()
sage: G = F / [x^3, y^2, (xy)^5]
(x*y)^5]
sage: G
Finitely presented group < x, y | x^3, y^2, (xy)^5 >(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.