Free products of abelian groups in mapping class groups

2021/03/09 by Christopher Loa, Loa, Christopher
Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2103.05144

openalex publication_date 2021/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a new family of examples of parabolically geometrically finite subgroups of the mapping class group in the sense of Dowdall-Durham-Leininger-Sisto and prove they are undistorted in Mod(S).

Related

• Constructing reducibly geometrically finite subgroups of the mapping class group
• Quotients of mapping class groups from Out(F_n)
• Combinations of parabolically geometrically finite groups and their geometry
• Geometric survey of subgroups of mapping class groups
• Subgroups of the mapping class group from the geometrical viewpoint