2 papers
math.GR2025
Power quotients of surface groups and mapping class groups
Rémi Coulon, Alessandro Sisto, Henry Wilton
Let be the fundamental group of a closed, orientable, hyperbolic surface . The -power quotient, , is the quotient of by the th powers of simple closed cur…
math.GR2024
The congruence subgroup property for mapping class groups and the residual finiteness of hyperbolic groups
Henry Wilton, Alessandro Sisto
Assuming that every hyperbolic group is residually finite, we prove the congruence subgroup property for mapping class groups of hyperbolic surfaces of finite type. Under the same…