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Relatively Hyperbolic Groups with Rapid Decay Property

Cornelia Drutu·Mark Sapir
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Abstract

We prove that a finitely generated group $G$ hyperbolic relative to the collection of finitely generated subgroups H_1,..., H_m has the Rapid Decay property if and only if each H_i, i=1,2,..., m, has the Rapid Decay property.

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Cornelia Drutu, Mark Sapir. 2004-11-25. Relatively Hyperbolic Groups with Rapid Decay Property. https://arxiv.org/abs/math/0405500

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