Stallings’ folds for cube complexes

Benjamin Beeker, Nir Lazarovich

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)331-363
Number of pages33
JournalIsrael Journal of Mathematics
Issue number1
StatePublished - 1 Aug 2018
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics


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