  By using Thurston's bending construction we obtain a sequence of faithful
discrete representations \rho _n of the fundamental group of a closed
hyperbolic 3-manifold fibering over the circle into the isometry group Iso H^4
of the hyperbolic space H^4. The algebraic limit of \rho _n contains a finitely
generated subgroup F whose 3-dimensional quotient \Omega (F)/F has infinitely
generated fundamental group, where \Omega (F) is the discontinuity domain of F
acting on the sphere at infinity. Moreover F is isomorphic to the fundamental
group of a closed surface and contains infinitely many conjugacy classes of
maximal parabolic subgroups.
