亏格一的双桥纽结群的抛物生成对
群论
2015-09-30 v3 几何拓扑
摘要
我们证明了亏格一的双曲双桥纽结群的任意抛物生成对都等价于上经线对或下经线对。作为一个应用，我们得到了从双桥纽结群到亏格一的双曲双桥纽结群的满同态的完整分类。
引用
@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}
}
备注
21 pages, 4 figures; Title changed, Theorem 1.2 and Section 6 added