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.
Strongly-cyclic branched coverings of knots via (g,1)-decompositions / Cristofori, Paola; M., Mulazzani; A., Vesnin. - In: ACTA MATHEMATICA HUNGARICA. - ISSN 0236-5294. - STAMPA. - 116:(2007), pp. 163-176. [10.1007/s10474-007-6029-2]
Strongly-cyclic branched coverings of knots via (g,1)-decompositions
CRISTOFORI, Paola;
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.
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