Some examples of separable convex-cocompact subgroups

2022/06/22 by M. Hagen, Alessandro Sisto, Hagen, Mark +1 · 1 citation
Mathematics · #Artificial intelligence #Class (philosophy) #Combinatorics #Computer science #Convex analysis #Convex combination #Convex optimization #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry #Group (periodic table) #Group Theory (math.GR) #Mathematical analysis #Mathematics #Physics #Pure mathematics #Rank (graph theory) #Regular polygon #Rings, Modules, and Algebras #Separable space

paper · open access · doi:10.48550/arxiv.2206.11084

published in Bristol Research (University of Bristol) (University of Bristol)

openalex publication_date 2022/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Reid asked whether all convex-cocompact subgroups of mapping class groups are separable. Using a construction of Manning-Mj-Sageev, we give examples of separable convex-cocompact subgroups that are free of arbitrary finite rank, while prior examples seem to all be virtually cyclic.

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