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Relatively Hyperbolic Groups with Rapid Decay Property

Cornelia Drutu, Mark Sapir

math.GRarXiv:math/0405500

Abstract

We prove that a finitely generated group G hyperbolic relative to the collection of finitely generated subgroups H1,..., Hm has the Rapid Decay property if and only if each Hi, i=1,2,..., m, has the Rapid Decay property.

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