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Proceedings of the American Mathematical Society
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 | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

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Additional Information

PII: S 0002-9939(1990)1013981-6
Keywords: Kleinian group, geometric finiteness fibre bundle over the circle, stable and unstable laminations
Article copyright: © Copyright 1990 American Mathematical Society

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