Abstract

In this paper we prove that for a sequence { G i , r } of r -generator Kleinian groups acting on R ¯ n , if { G i , 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].

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