If G is a discrete cofinite volume subgroup of PSL(2,C),then G acts on H3, H3/G is a 3-dim hyperbolic orbifold N with finite volume, my question is : Is it right in most situations that we can find a hyperbolic 3 manifold M as a finite covering space of N?
This question is equivalent to the following :
do most dicrete cofinte volume klein groups have a finit order torsion free subgroup?