Kleinian groups and the rank problem

Abstract

We prove that the rank problem is decidable in the class of torsion-free word-hyperbolic Kleinian groups. We also show that every group in this class has only finitely many Nielsen equivalence classes of generating sets of a given cardinality.

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper12.abs.html

References in corpus (2)

• The virtual Haken conjecture: Experiments and examples
• Coxeter Groups, 2-Completion, Perimeter Reduction and Subgroup Separability

Cited by in corpus (1)

• The rank of the fundamental group of certain hyperbolic 3-manifolds fibering over the circle