Author:
Bandieri P.,Kim A. C.,Mulazzani M.
Abstract
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.
Publisher
Cambridge University Press (CUP)
Reference21 articles.
1. 4. Dunwoody M. J. , Cyclic presentations and 3-manifolds (Proc. Inter. Conf., Groups-Korea '94, Walter de Gruyter, 1995), 47–55.
2. ON THE ARITHMETIC 2-BRIDGE KNOTS AND LINK ORBIFOLDS AND A NEW KNOT INVARIANT
3. Symmetries, Isometries and Length Spectra of Closed Hyperbolic Three-Manifolds
4. Geometric orbifolds;Dunbar;Rev. Mat. Univ. Complut. Madrid,1988
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