Abstract
A positive integer m will be called a finitistic order for an element of a group 0 if there exist a finite group G and a homomorphism h V 0 ! G such that h./ has order m in G. It is shown that up to conjugacy, all but finitely many elements of a given finitely generated, torsion-free Kleinian group admit a given integer m> 2 as a finitistic order.
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