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arxiv: math/0109135 · v2 · submitted 2001-09-19 · 🧮 math.GT

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

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keywords cyclicbranchedcoveringsgroupsknotspresentationsadmitsconnections
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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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