A Combination Theorem for strong relative hyperbolicity
Mahan Mj, Lawrence Reeves
GEOMETRY & TOPOLOGY | GEOMETRY & TOPOLOGY PUBLICATIONS | Published : 2008
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. © 2008 Geometry & Topology.