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

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

2004-02-24

arxiv.org/abs/math/0402393v2

Mathematics

Geometric Topology

14 pages, 7 figures

Scientific paper

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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