Quasi-hyperbolic planes in hyperbolic groups

2003/01/23 by Mario Bonk, Bruce Kleiner, Bonk, Mario +1
Mathematics · #20F65 #20F67 #20F69 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematics and Applications #Metric Geometry (math.MG) #Point processes and geometric inequalities #math.GR #math.GT #math.MG #msc:20F65 #msc:20F67 #msc:20F69

paper · pdf · doi:10.48550/arxiv.math/0301267

arxiv created 2003/01/23 · openalex publication_date 2003/01/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The hyperbolic plane admits a quasi-isometric embedding into a hyperbolic group if and only if the group is not virtually free.

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