Dear Forum,

> On Sep 10, 2015, at 2:44 AM, fahime babaee <f.alibab...@gmail.com> wrote:
> I have a finitely generated subgroup H of a free group and I want the
> generators of the quotient of H over the commutator subgroup of H. How can
> I do it?

Assuming the subgroup is of finite index, you could apply 
`MaximalAbelianQuotient’ which gives you an epimorphism onto this quotient.
By taking pre-images of the generators of the image you can get the generating 
set you want.

Regards,

   Alexander Hulpke


-- Colorado State University, Department of Mathematics,
Weber Building, 1874 Campus Delivery, Fort Collins, CO 80523-1874, USA
email: hul...@math.colostate.edu, Phone: ++1-970-4914288
http://www.math.colostate.edu/~hulpke



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