Embedding right-angled Artin groups into graph braid groups
Group Theory
2010-04-05 v3 Algebraic Topology
Geometric Topology
Abstract
We construct an embedding of any right-angled Artin group defined by a graph into a graph braid group. The number of strands required for the braid group is equal to the chromatic number of . This construction yields an example of a hyperbolic surface subgroup embedded in a two strand planar graph braid group.
Keywords
Cite
@article{arxiv.math/0506253,
title = {Embedding right-angled Artin groups into graph braid groups},
author = {Lucas Sabalka},
journal= {arXiv preprint arXiv:math/0506253},
year = {2010}
}
Comments
8 pages. Final version, appears in Geometriae Dedicata.