When is a polynomially growing automorphism of $F_n$ geometric ?
Group Theory
2016-05-25 v1
Abstract
The main result of this paper is an algorithmic answer to the question raised in the title, up to replacing the given by a positive power. In order to provide this algorithm, it is shown that every polynomially growing automorphism can be represented by an iterated Dehn twist on some graph-of-groups with . One then uses results of two previous papers \cite{KY01, KY02} as well as some classical results such as the Whitehead algorithm to prove the claim.
Keywords
Cite
@article{arxiv.1605.07390,
title = {When is a polynomially growing automorphism of $F_n$ geometric ?},
author = {Kaidi Ye},
journal= {arXiv preprint arXiv:1605.07390},
year = {2016}
}