Kleinian groups and the rank problem

Ilya Kapovich; Richard Weidmann

doi:10.2140/gt.2005.9.375

Kleinian groups and the rank problem

Ilya Kapovich, Richard Weidmann

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	375-402
Number of pages	28
Journal	Geometry and Topology
Volume	9
DOIs	https://doi.org/10.2140/gt.2005.9.375
State	Published - Mar 3 2005

Keywords

3-manifolds
Nielsen methods
Word-hyperbolic groups

ASJC Scopus subject areas

Geometry and Topology

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10.2140/gt.2005.9.375

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language = "English (US)",

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ER -

Kleinian groups and the rank problem

Abstract

Keywords

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