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arXiv · 0910.1899

The monomorphism problem in free groups

Laura Ciobanu·Abderezak Ould Houcine
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Abstract

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

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Laura Ciobanu, Abderezak Ould Houcine. 2009-10-10. The monomorphism problem in free groups. https://arxiv.org/abs/0910.1899

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