Right-angled Artin groups and Out(F_n) I: quasi-isometric embeddings
Geometric Topology
2013-03-28 v1 Group Theory
Abstract
We construct quasi-isometric embeddings from right-angled Artin groups into the outer automorphism group of a free group. These homomorphisms are in analogy with those constructed in \cite{CLM}, where the target group is the mapping class group of a surface. Toward this goal, we develop tools in the free group setting that mirror those for surface groups as well as discuss various analogs of subsurface projection; these may be of independent interest.
Keywords
Cite
@article{arxiv.1303.6889,
title = {Right-angled Artin groups and Out(F_n) I: quasi-isometric embeddings},
author = {Samuel J. Taylor},
journal= {arXiv preprint arXiv:1303.6889},
year = {2013}
}
Comments
37 pages, 4 figures