On definitions of relatively hyperbolic groups

2004/02/05 by Inna Bumagin, Bumagin, Inna
Mathematics · #05C25 (Secondary) #20F67 (Primary) 20F65 #Advanced Algebra and Geometry #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.GR #math.GT #msc:05C25 #msc:20F65 #msc:20F67

paper · pdf · doi:10.48550/arxiv.math/0402072

8 pages, to appear in Proceedings of American Mathematical Society

arxiv created 2004/02/05 · openalex publication_date 2004/02/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this note is to provide a short alternate proof that (combined with a theorem proven by Szczepanski) shows that a group which is relatively hyperbolic in the sense of the definition of Gromov is relatively hyperbolic in the sense of the definition of Farb.

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