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Strongly-cyclic branched coverings of knots via (g, 1)-decompositions

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Abstract

Strongly-cyclic branched coverings of knots are studied by using their (g, 1)-decompositions. Necessary and sufficient conditions for the existence and uniqueness of such coverings are obtained. It is also shown that their fundamental groups admit geometric g-words cyclic presentations.

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Authors and Affiliations

  1. Department of Mathematics, University of Modena and Reggio Emilia, Modena, Italy

    P. Cristofori

  2. Department of Mathematics and C.I.R.A.M., University of Bologna, Bologna, Italy

    M. Mulazzani

  3. Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia

    A. Vesnin

Authors
  1. P. Cristofori
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  2. M. Mulazzani
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  3. A. Vesnin
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Additional information

Work performed under the auspices of G.N.S.A.G.A. of I.N.d.A.M. of Italy and supported by M.U.R.S.T., by the University of Bologna, funds for selected research topics. The third named author was also supported by the INTAS project “CalcoMet-GT” 03-51-3663, the grant of RFRB, and the grant of SB RAN.

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Cristofori, P., Mulazzani, M. & Vesnin, A. Strongly-cyclic branched coverings of knots via (g, 1)-decompositions. Acta Math Hung 116, 163–176 (2007). https://doi.org/10.1007/s10474-007-6029-2

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  • DOI: https://doi.org/10.1007/s10474-007-6029-2

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