Bers's conjecture that every b-group is a boundary group

Let $G$ be a Fuchsian group of the first kind, and let $G^\phi$ be a b-group arising from a point $\phi$ in the relevant deformation space. A group $G^\phi$ is called a boundary group when $\phi$ belongs to the Bers boundary $\partial T(G)$ for some Fuchsian group $G$ of the first kind. Bers's conjecture. Every b-group is a boundary group. This conjecture concerns the geometric meaning of boundary points in the Bers compactification of Teichmüller space. It is still open in full generality.