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We prove the existence of a finitely generated Kleinian group N C SO+(\, 4) acting freely on an invariant component Q C Si without parabolic elements such that the fundamental group 7tx{Q/N) is not finitely generated. Moreover, TV is a finite index subgroup of a Kleinian group No which has infinitely many conjugacy classes of elliptic elements.

Finitely generated Kleinian groups in 3-space and 3-manifolds of infinite homotopy type