Subdivision rules for special cubulated groups
Geometric Topology
2013-10-29 v2 Group Theory
Abstract
We find explicit subdivision rules for all special cubulated groups. A subdivision rule for a group produces a sequence of tilings on a sphere which encode all quasi-isometric information for a group. We show how these tilings detect properties such as growth, ends, divergence, etc. We include figures of several worked out examples.
Cite
@article{arxiv.1307.1788,
title = {Subdivision rules for special cubulated groups},
author = {Brian Rushton},
journal= {arXiv preprint arXiv:1307.1788},
year = {2013}
}
Comments
32 pages, 33 figures. Significantly expanded to include subdivision rules for all special cubulated groups. Includes several applications of subdivision rules related to quasi-isometries