Cyclic presentations of groups and cyclic branched coverings of (1,1)-knots

Details Cyclic presentations of groups and cyclic branched coverings of (1,1)-knots Cyclic presentations of groups and cyclic branched coverings of (1,1)-knots

2001-09-19

arxiv.org/abs/math/0109135v2

Mathematics

Geometric Topology

10 pages, 3 figures. To appear in the Bulletin of the Korean Mathematical Society

Scientific paper

In this paper we study the connections between cyclic presentations of groups
and branched cyclic coverings of (1,1)-knots. In particular, we prove that
every n-fold strongly-cyclic branched covering of a (1,1)-knot admits a cyclic
presentation for the fundamental group encoded by a Heegaard diagram of genus
n.

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