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

2004/02/24 by Paola Cristofori, Cristofori, Paola, Michele Mulazzani +4
Biochemistry, Genetics and Molecular Biology · Mathematics · #Connective tissue disorders research #Finite Group Theory Research #Geometric and Algebraic Topology #math.GT #msc:57M12 #msc:57M25

paper · pdf · doi:10.48550/arxiv.math/0402393

14 pages, 7 figures

arxiv created 2005/03/04 · arxiv updated 2009/12/01

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.

Related

• Strongly-cyclic branched coverings of (1,1)-knots and cyclic presentations of groups
• Cyclic presentations of groups and cyclic branched coverings of (1,1)-knots
• All strongly-cyclic branched coverings of (1,1)-knots are Dunwoody manifolds
• The many faces of cyclic branched coverings of 2-bridge knots and links
• Cyclic branched covers of alternating knots and L-spaces