Strongly-cyclic branched coverings of knots via -decompositions
arXiv:math/0402393
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.
14 pages, 7 figures