Convex cocompact groups in real hyperbolic spaces with limit set a Pontryagin sphere
Abstract
Abstract We exhibit two examples of convex cocompact subgroups of the isometry groups of real hyperbolic spaces with limit set a Pontryagin sphere: one generated by 50 reflections of , and the other by a rotation of order 21 and a reflection of . For each of them, we also locate convex cocompact subgroups with limit set a Menger curve.
Fields of Study & Subjects
Geometric and Algebraic Topology
Mathematics and Applications
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 4
- Publication date
- 27 March 2026
- Language
- EN