Strongly-cyclic branched coverings of knots via (g,1)-decompositions
classification
🧮 math.GT
keywords
coveringsbrancheddecompositionsknotsstrongly-cyclicadmitconditionscyclic
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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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