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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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