Distortion for Abelian Subgroups of $\mathrm{Out}(F_n)$
Group Theory
2017-01-12 v2
Abstract
We prove that abelian subgroups of the outer automorphism group of a free group are quasi-isometrically embedded. Our proof uses recent developments in the theory of train track maps by Feighn-Handel. As an application, we prove the rank conjecture for .
Keywords
Cite
@article{arxiv.1612.01134,
title = {Distortion for Abelian Subgroups of $\mathrm{Out}(F_n)$},
author = {Derrick Wigglesworth},
journal= {arXiv preprint arXiv:1612.01134},
year = {2017}
}
Comments
20 pages, 3 figures