Boundaries of strongly accessible hyperbolic groups
Boundaries of strongly accessible hyperbolic groups
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.
51-97
Bowditch, B.H.
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Rivin, Igor
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Rourke, Colin
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Series, Caroline
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1996
Bowditch, B.H.
8f3cf0c9-0a10-4b70-8648-33fb2ade7ac9
Rivin, Igor
d9a04ed4-6d25-4cad-9d46-41a55437ed4c
Rourke, Colin
ac5e9e2f-4003-41e2-8927-a59f351e26af
Series, Caroline
fa87d6bc-f29e-4ea7-b6aa-ab34d9450501
Bowditch, B.H.
,
Rivin, Igor, Rourke, Colin and Series, Caroline
(eds.)
(1996)
Boundaries of strongly accessible hyperbolic groups.
Geometry and Topology Monographs: The Epstein Birthday Schrift, 1, .
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.
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Published date: 1996
Identifiers
Local EPrints ID: 29764
URI: http://eprints.soton.ac.uk/id/eprint/29764
ISSN: 1464-8997
PURE UUID: 8137e7cb-0f4b-4228-86dd-541d59edd6ad
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Date deposited: 09 Jan 2007
Last modified: 15 Mar 2024 07:34
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Contributors
Author:
B.H. Bowditch
Editor:
Igor Rivin
Editor:
Colin Rourke
Editor:
Caroline Series
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