Kleinian groups with ubiquitous surface subgroups

2007/06/13 by Joseph D. Masters, Masters, Joseph D.
Mathematics · #FOS: Mathematics #Finite Group Theory Research #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT

paper · pdf · doi:10.48550/arxiv.0706.1961

7 pages, 5 figures

arxiv created 2007/06/13 · openalex publication_date 2007/06/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that every finitely-generated free subgroup of a right-angled, co-compact Kleinian reflection group is contained in a surface subgroup.

Related

• Surface subgroups of Kleinian groups with torsion
• Subgroups of the mapping class group from the geometrical viewpoint
• On planar Cayley graphs and Kleinian groups
• Quasi-convex surface subgroups in some one-relator groups with torsion
• Incompressible solvable representations of surface groups