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The structure of certain subgroups of the Picard group

Published online by Cambridge University Press:  24 October 2008

Norbert Wielenberg
Norbert Wielenberg
Affiliation:
Science Division, University of Wisconsin – Parkside, Kenosha, Wisconsin 53141, U.S.A.
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Extract

A torsion-free discrete subgroup G of PSL(2, C) acts as a group of isometries of hyperbolic 3-space H3. The resulting quotient manifold M has H3 as its universal covering space with G as the group of cover transformations. We shall give examples where M has finite hyperbolic volume and is a link complement in S3. In these examples, G is a subgroup of the Picard group and in most cases is given as an HNN extension or a free product with amalgamation of kleinian groups with fuchsian groups as amalgamated or conjugated subgroups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 84 , Issue 3 , November 1978 , pp. 427 - 436
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

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