Globally stable cylinders for hyperbolic CAT(0) cube complexes

  • Nir Lazarovich

    Technion – Israel Institute of Technology, Haifa, Israel
  • Michah Sageev

    Technion - Israel Institute of Technology, Haifa, Israel
Globally stable cylinders for hyperbolic CAT(0) cube complexes cover
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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.

Cite this article

Nir Lazarovich, Michah Sageev, Globally stable cylinders for hyperbolic CAT(0) cube complexes. Groups Geom. Dyn. 18 (2024), no. 1, pp. 203–211

DOI 10.4171/GGD/744