Kleinian groups and the rank problem

Mathematics – Geometric Topology

Scientific paper

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

Scientific paper

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.

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