Convergence groups are not invariably generated

2014/07/27 by Tsachik Gelander, Gelander, Tsachik
Computer Science · Mathematics · #20F65 #20F67 #22E40 #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #math.GR #msc:20F65 #msc:20F67 #msc:22E40 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1407.7226

7 pages

openalex publication_date 2014/07/27 · arxiv created 2014/12/02 · arxiv updated 2014/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It was conjectured in [KLS14] that non-elementary word hyperbolic groups are never invariably generated. We show that this is indeed the case even for the much larger class of convergence groups.

Related

• Non-elementary convergence groups are acylindrically hyperbolic
• A note on growth of hyperbolic groups
• Growth of relatively hyperbolic groups
• Searching for Hyperbolicity
• Boundaries of hyperbolic groups