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Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4246

Title: Hidden Symmetries of Cyclic Branched Coverings of 2-Bridge Knots
Authors: Reni, Marco
Vesnin, Andrei
Keywords: cyclic branched covering
2-bridge knot
hyperbolic 3-manifold
Issue Date: 2001
Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Citation: Marco Reni and Andrei Vesnin, "Hidden symmetries of cyclicbranched coverings of 2-bridge knots", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.1, pp. 289–304.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 suppl. 1 (2001)
Abstract: We consider hyperbolic 3-manifolds $M_{n}\left(k\right)$, which are n-fold cyclic branched coverings of 2-bridge knots K. We show that for n $\geq$ 5 the orientation-preserving isometry group of $M_{n}\left(k\right)$ either is a lift of a symmetry group of K or has a very special structure.
URI: http://hdl.handle.net/10077/4246
ISSN: 0049-4704
MS Classification: 57M12
57M25
57M50
57M60
Appears in Collections:Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.32 (2001) s1

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