Relatively Hyperbolic Groups with Rapid Decay Property

2004/05/26 by Cornelia Druţu, Cornelia Drutu, Drutu, Cornelia +2
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Geometric and Algebraic Topology #Group Theory (math.GR) #math.FA #math.GR

paper · pdf · doi:10.48550/arxiv.math/0405500

10 pages. Accepted in International Mathematics Research Notices

openalex publication_date 2004/05/26 · arxiv created 2004/11/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that a finitely generated group G hyperbolic relative to the collection of finitely generated subgroups H₁,..., 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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