Subgroups of word hyperbolic groups in rational dimension 2

  • Shivam Arora

    Memorial University of Newfoundland, St John's, Canada
  • Eduardo Martínez-Pedroza

    Memorial University of Newfoundland, St John's, Canada
Subgroups of word hyperbolic groups in rational dimension 2 cover
Download PDF

This article is published open access under our Subscribe to Open model.

Abstract

A result of Gersten states that if is a hyperbolic group with integral cohomological dimension then every finitely presented subgroup is hyperbolic. We generalize this result for the rational case . In particular, the result applies to the class of torsion-free hyperbolic groups with and discovered by Bestvina and Mess.

Cite this article

Shivam Arora, Eduardo Martínez-Pedroza, Subgroups of word hyperbolic groups in rational dimension 2. Groups Geom. Dyn. 15 (2021), no. 1, pp. 83–100

DOI 10.4171/GGD/592