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arxiv: 1103.5328 · v2 · pith:Q4VU6EN5new · submitted 2011-03-28 · 🧮 math.GR

Length functions of 2-dimensional right-angled Artin groups

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keywords artindimensionalgroupslengthright-angledactingactionanalogue
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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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