Relatively Hyperbolic Groups with Rapid Decay Property

Mathematics – Group Theory

Scientific paper

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10 pages. Accepted in International Mathematics Research Notices

Scientific paper

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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