Paper published by Geometry and Topology

From: Geometry and Topology Journal (gt_at_maths.warwick.ac.uk)
Date: 03/03/05 

Date: Thu, 3 Mar 2005 21:11:08 GMT

The following paper has been published:

Geometry and Topology, Volume 9 (2005) Paper no. 12, pages 375--402

URL:
http://www.maths.warwick.ac.uk/gt/GTVol9/paper12.abs.html

Title:
Kleinian groups and the rank problem

Author(s):
Ilya Kapovich, Richard Weidmann

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.

AMS Classification Numbers. Primary: 20F67, 57M60
Secondary: 30F40

Keywords:
Word-hyperbolic groups, Nielsen methods, 3-manifolds

Received: 31 August 2004
Accepted: 28 February 2005
Published: 3 March 2005

Proposed: Walter Neumann
Seconded: Wolfgang Metzler, Cameron Gordon

Author(s) address(es):
Department of Mathematics, University of Illinois at Urbana-Champaign
1409 West Green Street, Urbana, IL 61801, USA
and
Fachbereich Mathematik, Johann Wolfgang Goethe Universitat
Robert Mayer-Strasse 6-8, 60325 Frankfurt, Germany

Email: kapovich@math.uiuc.edu, rweidman@math.uni-frankfurt.de