Some Baumslag-Solitar groups are two bridges virtual knots
Group Theory
2015-11-12 v1
Abstract
In this paper we give necessary conditions on group presentations, with two generators and one relator, in order to be the group of a virtual knot diagram. Although those conditions are not enough, we use them to determine, completely, whether or not a Baumslag-Solitar group is the group of a -bridge virtual knot. Moreover, we present a combinatorial proof of the fact that these groups are not -bridge classical knot groups.
Keywords
Cite
@article{arxiv.1511.03389,
title = {Some Baumslag-Solitar groups are two bridges virtual knots},
author = {J. G. Rodríguez and O. P. Salazar-Díaz and J. J. Mira},
journal= {arXiv preprint arXiv:1511.03389},
year = {2015}
}