The structure of a finitely generated Kleinian group

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Abstract
In his classical work on automorphic functions Poincard introduced the distinction between Fuchsian groups and the more general class of Kleinian groups. The Fuchsian case proved to be much more tractable, and soon grew to an impressive theory with applications in several branches of mathematics. In contrast, the study of Kleinian groups progressed slowly and still presents major unsolved problems. A recent surge of interest occurred when it was found that the theory of quasiconformal mappings has important bearing on the subject. The writer proved (Ahlfors [1]), with minor restrictions that were subsequently

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