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 S^3 over the knot 5_2 and we compute their homology groups. Moreover, we show that the cyclic presentations correspond to spines of the manifolds.
On the cyclic coverings of the knot 5_2 / Bandieri, Paola; A. C., Kim; M., Mulazzani. - In: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. - ISSN 0013-0915. - STAMPA. - 42:(1999), pp. 575-581.
On the cyclic coverings of the knot 5_2.
BANDIERI, Paola;
1999
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 S^3 over the knot 5_2 and we compute their homology groups. Moreover, we show that the cyclic presentations correspond to spines of the manifolds.
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