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A Combination Theorem for Strong Relative Hyperbolicity

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.

preprint2008arXivOpen access
Mahan MjLawrence Reeves
math.GRmath.GT
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Mahan MjLawrence Reeves

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