Boundaries of strongly accessible hyperbolic groups

Details Boundaries of strongly accessible hyperbolic groups Boundaries of strongly accessible hyperbolic groups

1998-10-25

arxiv.org/abs/math/9810187v1

Geom. Topol. Monogr. 1 (1998), 51-97

Mathematics

Group Theory

47 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper3.abs.html

Scientific paper

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.

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