Free products of abelian groups in mapping class groups

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($S$).

arXiv comment27 pages, 9 figures. v2: minor revisions

References in corpus (6)

• Hierarchically hyperbolic spaces I: curve complexes for cubical groups
• Convex cocompact subgroups of mapping class groups
• Word hyperbolic extensions of surface groups
• Boundaries and automorphisms of hierarchically hyperbolic spaces
• Powers of Dehn twists generating right-angled Artin groups
• Affine diffeomorphism groups are undistorted

Cited by in corpus (1)

• Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity