Geometry & Topology Monographs 1 (1998) 51–97

DOI: 10.2140/gtm.1998.1.51

arXiv: math.GR/9810187

Abstract

We consider splittings of groups over finite and two-ended 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 one-ended strongly accessible hyperbolic group has no global cut point.

Keywords

Boundary, accessibility, hyperbolic group, cutpoint, Whitehead graph

Mathematical Subject Classification

Primary: 20F32

References

Publication

Received: 15 November 1997
Revised: 10 August 1998
Published: 21 October 1998

Authors