Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups
Group Theory
2014-10-01 v2
Abstract
We prove by explicit construction that graph braid groups and most surface groups can be embedded in a natural way in right-angled Artin groups, and we point out some consequences of these embedding results. We also show that every right-angled Artin group can be embedded in a pure surface braid group. On the other hand, by generalising to right-angled Artin groups a result of Lyndon for free groups, we show that the Euler characteristic -1 surface group (given by the relation x^2y^2=z^2) never embeds in a right-angled Artin group.
Cite
@article{arxiv.math/0303217,
title = {Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups},
author = {John Crisp and Bert Wiest},
journal= {arXiv preprint arXiv:math/0303217},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-22.abs.html