Parabolic generating pairs of genus-one 2-bridge knot groups
arXiv:1508.03793
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.
arXiv comment21 pages, 4 figures; Title changed, Theorem 1.2 and Section 6 added