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Length functions of 2-dimensional right-angled Artin groups

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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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Authors and Affiliations

  1. Brandeis University, 415 South St, Waltham, MA, 02453, USA

    Ruth Charney

  2. Harry S. Truman College, 1145 West Wilson Ave, Chicago, IL, 60640, USA

    Max Margolis

Authors
  1. Ruth Charney
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  2. Max Margolis
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Correspondence to Ruth Charney.

Additional information

R. Charney was partially supported by NSF grant DMS 0705396.

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Charney, R., Margolis, M. Length functions of 2-dimensional right-angled Artin groups. Geom Dedicata 166, 31–45 (2013). https://doi.org/10.1007/s10711-012-9784-3

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  • DOI: https://doi.org/10.1007/s10711-012-9784-3

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