A combination theorem for strong relative hyperbolicity

Mahan, Mj. ; Lawrence, Reeves (2008) A combination theorem for strong relative hyperbolicity Geometry and Topology, 12 . pp. 1777-1798. ISSN 1465-3060

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Official URL: http://www.msp.warwick.ac.uk/gt/2008/12-03/p040.xh...

Related URL: http://dx.doi.org/10.2140/gt.2008.12.1777


We prove a combination theorem for trees of (strongly) relatively hyperbolic spaces and finite graphs of (strongly) relatively hyperbolic groups. This gives a geometric extension of Bestvina and Feighn's Combination Theorem for hyperbolic groups and answers a question of Swarup. We also prove a converse to the main Combination Theorem.

Item Type:Article
Source:Copyright of this article belongs to Mathematical Sciences Publishers.
Keywords:Relative Hyperbolicity; Tree; Hyperbolic Metric Space
ID Code:89541
Deposited On:28 Apr 2012 12:56
Last Modified:19 May 2016 04:04

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