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Length functions of 2-dimensional right-angled Artin groups (1103.5328v2)

Published 28 Mar 2011 in math.GR

Abstract: Morgan and Culler proved that a minimal action of a free group on a tree is determined by its translation length function. We prove an analogue of this theorem for 2-dimensional right-angled Artin groups acting on CAT(0) rectangle complexes.

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