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arXiv · 1508.03793

Parabolic generating pairs of genus-one 2-bridge knot groups

Donghi Lee·Makoto Sakuma
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Abstract

We show that any parabolic generating pair of a genus-one hyperbolic 2-bridge knot group is equivalent to the upper or lower meridian pair. As an application, we obtain a complete classification of the epimorphisms from 2-bridge knot groups to genus-one hyperbolic 2-bridge knot groups.

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Donghi Lee, Makoto Sakuma. 2015-08-16. Parabolic generating pairs of genus-one 2-bridge knot groups. https://arxiv.org/abs/1508.03793

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