Stallings folds for CAT(0) cube complexes and quasiconvex subgroups

Abstract

We describe a higher dimensional analogue of the Stallings folding sequence for group actions on CAT(0) cube complexes. We use it to give a characterization of quasiconvex subgroups of hyperbolic groups which act properly co-compactly on CAT(0) cube complexes via finiteness properties of their hyperplane stabilizers.

28 pages

Cited by in corpus (1)

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