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.

P. Cristofori, M. Mulazzani, A. Vesnin (2007). Strongly-cyclic branched coverings of knots via (g,1)-decompositions. ACTA MATHEMATICA HUNGARICA, 116, 163-176 [10.1007/s10474-007-6029-2].

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

MULAZZANI, MICHELE;
2007

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.
2007
P. Cristofori, M. Mulazzani, A. Vesnin (2007). Strongly-cyclic branched coverings of knots via (g,1)-decompositions. ACTA MATHEMATICA HUNGARICA, 116, 163-176 [10.1007/s10474-007-6029-2].
P. Cristofori; M. Mulazzani; A. Vesnin
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/53207
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