Article contents
On the cyclic coverings of the knot 52
Published online by Cambridge University Press: 20 January 2009
Extract
We construct a family of hyperbolic 3-manifolds whose fundamental groups admit a cyclic presentation. We prove that all these manifolds are cyclic branched coverings of S3 over the knot 52 and we compute their homology groups. Moreover, we show that thecyclic presentations correspond to spines of the manifolds.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 42 , Issue 3 , October 1999 , pp. 575 - 587
- Copyright
- Copyright © Edinburgh Mathematical Society 1999
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