Parabolic generating pairs of genus-one 2-bridge knot groups
Group Theory
2015-09-30 v3 Geometric Topology
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.
Keywords
Cite
@article{arxiv.1508.03793,
title = {Parabolic generating pairs of genus-one 2-bridge knot groups},
author = {Donghi Lee and Makoto Sakuma},
journal= {arXiv preprint arXiv:1508.03793},
year = {2015}
}
Comments
21 pages, 4 figures; Title changed, Theorem 1.2 and Section 6 added