Kleinian groups and the rank problem

Ilya Kapovich, Richard Weidmann

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)375-402
Number of pages28
JournalGeometry and Topology
StatePublished - Mar 3 2005


  • 3-manifolds
  • Nielsen methods
  • Word-hyperbolic groups

ASJC Scopus subject areas

  • Geometry and Topology


Dive into the research topics of 'Kleinian groups and the rank problem'. Together they form a unique fingerprint.

Cite this