A Combination Theorem for Strong Relative Hyperbolicity

Details A Combination Theorem for Strong Relative Hyperbolicity A Combination Theorem for Strong Relative Hyperbolicity

2006-11-20

arxiv.org/abs/math/0611601v2

Geometry & Topology 12 (2008) 1777-1798

Mathematics

Geometric Topology

v2: 19 pages, no figures. Slight typographical differences with published version. Converse to main combination theorem added

Scientific paper

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.

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