Growth and displacement of free product automorphisms
Group Theory
2023-07-27 v2
Abstract
It is well known for an irreducible free group automorphism that its growth rate is equal to the minimal Lipschitz displacement of its action on Culler-Vogtmann space. This follows as a consequence of the existence of train track representatives for the automorphism. We extend this result to the general - possibly reducible - case as well as to the free product situation where growth is replaced by `relative growth'.
Keywords
Cite
@article{arxiv.2307.13502,
title = {Growth and displacement of free product automorphisms},
author = {Matthew Collins},
journal= {arXiv preprint arXiv:2307.13502},
year = {2023}
}