A congruence subgroup property for symmetric mapping class groups
Abstract
Abstract We prove the congruence subgroup property for the centralizer of a finite subgroup G in the mapping class group of a hyperbolic oriented and connected surface of finite topological type S such that the genus of the quotient surface S / G is at most 2. As an application, we show that torsion elements in the mapping class group of a surface of genus $$\le 2$$ ≤ 2 are conjugacy distinguished.
Fields of Study & Subjects
Geometric and Algebraic Topology
Functional Equations Stability Results
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- São Paulo Journal of Mathematical Sciences
- Publisher
- Springer Science and Business Media LLC
- Volume
- 20
- Issue
- 2
- Publication date
- 23 September 2026
- Language
- EN