FYI: cross-posted yesterday and answered today at 
http://math.stackexchange.com/questions/1779212/

Alexander


> On 10 May 2016, at 14:39, fahime babaee <f.alibab...@gmail.com> wrote:
> 
> Dear Forum
> 
> Let $H$ and $K$  be finitely generated subgroups of the free group $F(n)$
> such that $H\subseteq K$. We Know that $K$ is a free group. Now we choose
> basis for $K$ and $H$ and I want to rewrite the basis of $H$ in the chosen
> basis of $K$. I can do this calculation with hand by using automaton of $K$
> but it take a long time. How can I do this with GAP?
> 
> Fahime Alibabaei
> PhD student of Pure Mathematics(Algebra)  University of Porto. 


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