English

Kleinian groups and the rank problem

Geometric Topology 2014-11-11 v3 Group Theory

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.

Keywords

Cite

@article{arxiv.math/0407438,
  title  = {Kleinian groups and the rank problem},
  author = {Ilya Kapovich and Richard Weidmann},
  journal= {arXiv preprint arXiv:math/0407438},
  year   = {2014}
}

Comments

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