2 citations · 3 across the 11 of their papers we have counts for
4 papers · 1 filter
Discrete representations of finitely generated groups into
Hao Liang
We prove a factorization theorem for Fuchsian groups similar to those proved by Agol and Liu for 3-manifold groups. As an application, we build Makanin-Razborov diagrams, which par…
Equations in nilpotent groups
Moon Duchin, Hao Liang, Michael Shapiro
We show that there exists an algorithm to decide any single equation in the Heisenberg group in finite time. The method works for all two-step nilpotent groups with rank-one commut…
Equation Problem over central extensions of hyperbolic groups
Hao Liang
The Equation Problem in finitely presented groups asks if there exists an algorithm which determines in finite amount of time whether any given equation system has a solution or no…
Centralizers of Finite Subgroups of the Mapping Class Group
Hao Liang
In this paper, we study the action of finite subgroups of the mapping class group of a surface on the curve complex. We prove that if the diameter of the almost fixed point set of…