Subdivision rules for special cubulated groups

Published 6 Jul 2013 in math.GT and math.GR | (1307.1788v2)

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.

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Brian Rushton

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