Conjugate Generators of Knot and Link Groups
Geometric Topology
2013-01-29 v2
Abstract
This note shows that if two elements of equal trace (e.g., conjugate elements) generate an arithmetic two-bridge knot or link group, then the elements are parabolic. This includes the figure-eight knot and Whitehead link groups. Similarly, if two conjugate elements generate the trefoil knot group, then the elements are peripheral.
Cite
@article{arxiv.0806.3452,
title = {Conjugate Generators of Knot and Link Groups},
author = {Jason Callahan},
journal= {arXiv preprint arXiv:0806.3452},
year = {2013}
}
Comments
10 pages, submitted to Journal of Knot Theory and Its Ramifications