ON THE ALGEBRAIC CONVERGENCE OF FINITELY GENERATED KLEINIAN GROUPS IN ALL DIMENSIONS

摘要

Let {G_(r,i)} be a sequence of r-generator Kleinian groups acting on R~n. In this paper, we prove that if {G_(r,i)} satisfies the F-condition, then its algebraic limit group G_r is also a Kleinian group. The existence of a homornorphism from G_r to G_(r,i) is also proved. These are generalisations of all known corresponding results.