Embeddings of right-angled Artin groups
Group Theory
2013-12-02 v5 Algebraic Topology
Abstract
We explicitly construct an embedding of a right-angled Artin group into a classical pure braid group. Using this we obtain a number of corollaries describing embeddings of arbitrary Artin groups into right-angled Artin groups and linearly independent subgroups of a right-angled Artin group.
Keywords
Cite
@article{arxiv.1010.6286,
title = {Embeddings of right-angled Artin groups},
author = {Travis Scrimshaw},
journal= {arXiv preprint arXiv:1010.6286},
year = {2013}
}
Comments
This paper has been withdrawn by the author due to the map described in Thorem 2.4 is not injective