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Kleinian groups and the rank problem
Ilya Kapovich and Richard Weidmann
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Geometry & Topology 9 (2005)
375–402
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Abstract
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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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Keywords
word-hyperbolic groups, Nielsen methods,
3–manifolds
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Mathematical Subject Classification
Primary: 20F67, 57M60
Secondary: 30F40
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Publication
Received: 31 August 2004
Accepted: 28 February 2005
Published: 3 March 2005
Proposed: Walter Neumann
Seconded: Wolfgang Metzler, Cameron Gordon
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