The graph structure of graph groups that are subgroups of Thompson's group $V$
Group Theory
2016-03-29 v1
Abstract
We determine exactly which graph products, also known as Right Angled Artin Groups, embed into Richard Thompson's group . It was shown by Bleak and Salazar-Diaz that was an obstruction. We show that this is the only obstruction. This is shown by proving a graph theory result giving an alternate description of simple graphs without an appropriate induced subgraph.
Keywords
Cite
@article{arxiv.1603.08433,
title = {The graph structure of graph groups that are subgroups of Thompson's group $V$},
author = {Nathan Corwin and Kathryn Haymaker},
journal= {arXiv preprint arXiv:1603.08433},
year = {2016}
}