Boundaries of strongly accessible hyperbolic groups
Abstract
We consider splittings of groups over finite and twoended subgroups. We study the combinatorics of such splittings using generalisations of Whitehead graphs. In the case of hyperbolic groups, we relate this to the topology of the boundary. In particular, we give a proof that the boundary of a oneended strongly accessible hyperbolic group has no global cut point.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 October 1998
 DOI:
 10.48550/arXiv.math/9810187
 arXiv:
 arXiv:math/9810187
 Bibcode:
 1998math.....10187B
 Keywords:

 Mathematics  Group Theory;
 20F32
 EPrint:
 47 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper3.abs.html