Algebraic convergence theorems of complex Kleinian groups

摘要

Let {G r,i} be a sequence of r-generator subgroups of U(1,n;C) and G r be its algebraic limit group. In this paper, two algebraic convergence theorems concerning {G r,i} and G r are obtained. Our results are generalisations of their counterparts in the n-dimensional sense-preserving M?bius group.