Globally stable cylinders for hyperbolic CAT(0) cube complexes

Research output: Contribution to journalArticlepeer-review

Abstract

Rips and Sela (1995) introduced the notion of globally stable cylinders and asked if all Gromov hyperbolic groups admit such. We prove that hyperbolic cubulated groups admit globally stable cylinders.

Original languageEnglish
Pages (from-to)203-211
Number of pages9
JournalGroups, Geometry, and Dynamics
Volume18
Issue number1
DOIs
StatePublished - 2024

Keywords

  • CAT(0) cube complexes
  • hyperbolic groups

All Science Journal Classification (ASJC) codes

  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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