Strongly-cyclic branched coverings of knots via $(g,1)$-decompositions
  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. 
Paola Cristofori, Michele Mulazzani, Andrei Vesnin