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

Michele Mulazzani

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arXiv · math/0109135

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

Michele Mulazzani

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Abstract

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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BibTeX RIS

Michele Mulazzani. 2002-09-23. Cyclic presentations of groups and cyclic branched coverings of (1,1)-knots. https://arxiv.org/abs/math/0109135

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