GEOMETRICALLY FINITE KLEINIAN-GROUPS AND PARABOLIC ELEMENTS

Let Gamma be a torsion-free geometrically finite Kleinian group. In th is paper, we investigate which systems of loxodromic conjugacy classes of Gamma can be simultaneously made parabolic in a group on the bound ary of the quasi-conformal deformation space of Gamma. We shall prove that for this, it is sufficient that the classes of the system are rep resented by disjoint primitive simple closed curves on the ideal bound ary of H-3/Gamma.