Algebraic convergence of finitely generated Kleinian groups in all dimensions

In this paper we prove that for a sequence {Gi,r} of r-generator Kleinian groups acting on , if {Gi,r} satisfies Condition A, then its algebraic limit is also a Kleinian group. This generalizes the main result in [X. Wang, Algebraic convergence theorems of n-dimensional Kleinian groups, Israel J. Math. 162 (2007) 221–233].