English

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

Group Theory 2017-09-01 v2

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.

Keywords

Cite

@article{arxiv.1605.02758,
  title  = {Stallings folds for CAT(0) cube complexes and quasiconvex subgroups},
  author = {Benjamin Beeker and Nir Lazarovich},
  journal= {arXiv preprint arXiv:1605.02758},
  year   = {2017}
}

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28 pages