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arXiv · 0910.0713

Computing fixed closures in free groups

Enric Ventura
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Abstract

Let $F$ be a finitely generated free group. We present an algorithm such that, given a subgroup $H\leqslant F$, decides whether $H$ is the fixed subgroup of some family of automorphisms, or family of endomorphisms of $F$ and, in the affirmative case, finds such a family. The algorithm combines both combinatorial and geometric methods.

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Enric Ventura. 2009-10-05. Computing fixed closures in free groups. https://arxiv.org/abs/0910.0713

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