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Abstract: Let $F$ be a free group of finite rank. We say that the monomorphism problemin $F$ is decidable if for any two elements $u$ and $v$ in $F$, there is analgorithm that determines whether there exists a monomorphism of $F$ that sends$u$ to $v$. In this paper we show that the monomorphism problem is decidableand we provide an effective algorithm that solves the problem.



Author: Laura Ciobanu, Abderezak Ould Houcine

Source: https://arxiv.org/







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