The conjugacy problem in right-angled Artin groups and their subgroups
Group Theory
2008-02-14 v1 Geometric Topology
Abstract
We prove that the conjugacy problem in right-angled Artin groups (RAAGs), as well as in a large and natural class of subgroups of RAAGs, can be solved in linear-time. This class of subgroups contains, for instance, all graph braid groups (i.e. fundamental groups of configuration spaces of points in graphs), many hyperbolic groups, and it coincides with the class of fundamental groups of ``special cube complexes'' studied independently by Haglund and Wise.
Cite
@article{arxiv.0802.1771,
title = {The conjugacy problem in right-angled Artin groups and their subgroups},
author = {John Crisp and Eddy Godelle and Bert Wiest},
journal= {arXiv preprint arXiv:0802.1771},
year = {2008}
}
Comments
29 pages, 7 figures