Kleinian groups and the rank problem

Ilya Kapovich; Richard Weidmann

doi:10.2140/gt.2005.9.375

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Home > Journals > Geom. Topol. > Volume 9 > Issue 1 > Article

2005 Kleinian groups and the rank problem

Ilya Kapovich, Richard Weidmann

Geom. Topol. 9(1): 375-402 (2005). DOI: 10.2140/gt.2005.9.375

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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.