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.
Citation
Ilya Kapovich. Richard Weidmann. "Kleinian groups and the rank problem." Geom. Topol. 9 (1) 375 - 402, 2005. https://doi.org/10.2140/gt.2005.9.375
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