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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Geometric finiteness of certain Kleinian groups


Authors: G. P. Scott and G. A. Swarup
Journal: Proc. Amer. Math. Soc. 109 (1990), 765-768
MSC: Primary 57M05; Secondary 57N10
MathSciNet review: 1013981
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Abstract: If $ G$ is a discrete subgroup of $ \operatorname{PSL} \left( {2;{\mathbf{C}}} \right)$ representing a fibred $ 3$-manifold and $ H$ the subgroup of $ G$ corresponding to the fibre, we show that any finitely generated subgroup of infinite index in $ H$ is geometrically finite.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1013981-6
Keywords: Kleinian group, geometric finiteness fibre bundle over the circle, stable and unstable laminations
Article copyright: © Copyright 1990 American Mathematical Society