Combination theorems for geometrically finite convergence groups
Abstract
We prove combination theorems in the spirit of Klein and Maskit in the context of discrete convergence groups acting geometrically finitely on their limit sets.As special cases, we obtain combination theorems for geometrically finite groups of isometries of Hadamard manifolds with pinched negative curvature, and for relatively quasiconvex subgroups of relatively hyperbolic groups.
Fields of Study & Subjects
Geometric and Algebraic Topology
Advanced Operator Algebra Research
Finite Group Theory Research
Publication details
- Journal / source
- Algebraic & Geometric Topology
- Volume
- 26
- Issue
- 6
- Pages
- 2079–2122
- Publication date
- 22 June 2026
- Language
- EN