THE DISCRETENESS OF THE NORMALIZERS OF HIGHER DIMENSIONAL KLEINIAN GROUPS AND THE ISOMORPHISMS BETWEEN KLEINIAN GROUPS INDUCED BY QUASICONFORMAL MAPPINGS

In this paper, we get a necessary and sufficient condition for the normalizers of higher dimensional Kleinian groups to be discrete. Also we obtain a necessary and sufficient condition for the isomorphisms between two higher dimensional Kleinian groups induced by quasiconformal mappings to be the same.