A Combination Theorem for Strong Relative Hyperbolicity
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🧮 math.GT
math.GR
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combinationtheoremhyperbolicgroupsproverelativelystronglyanswers
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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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