Subdivision rules for special cubulated groups
arXiv:1307.1788
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.
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