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Stallings’ folds for cube complexes

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Abstract

We describe a higher dimensional analogue of Stallings’ folding sequences for group actions on CAT(0) cube complexes. We use it to give a characterization of quasiconvex subgroups of hyperbolic groups that act properly and cocompactly on CAT(0) cube complexes via finiteness properties of their hyperplane stabilizers.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Haifa, Haifa, 31905, Israel

    Benjamin Beeker

  2. Department of Mathematics, ETH Zürich, Rämistrasse 101, 8092, Zürich, Switzerland

    Nir Lazarovich

Authors
  1. Benjamin Beeker
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  2. Nir Lazarovich
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Corresponding author

Correspondence to Nir Lazarovich.

Additional information

The first author is supported by ISF grant 1941/14.

The second author is supported by ETH Zürich Postdoctoral Fellowship Program. Received February 16, 2017 and in revised form August 22, 2017

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Beeker, B., Lazarovich, N. Stallings’ folds for cube complexes. Isr. J. Math. 227, 331–363 (2018). https://doi.org/10.1007/s11856-018-1730-0

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  • DOI: https://doi.org/10.1007/s11856-018-1730-0

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