The monomorphism problem in free groups

Details The monomorphism problem in free groups The monomorphism problem in free groups

2009-10-10

arxiv.org/abs/0910.1899v1

Mathematics

Group Theory

Scientific paper

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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