论文标题
无扭转的鼻蛋
Residual Torsion-Free Nilpotence, Bi-Orderability and Pretzel Knots
论文作者
论文摘要
结组的换向器亚组的无扭转nil蛋白质在研究结组的双订单方面起着关键作用。 Mayland开发的一种技术为结合组的换向子亚组提供了足够的条件，可以使用Baumslag的作品进行无质量的nilpotent。在本文中，我们将Mayland的技术应用于几个椒盐脆饼结和一个任意高属的椒盐脆饼结的家族。结果，我们获得了大量具有可行结基的结的新示例。这些是针对未纤维或交替的结的双级结组的第一个例子。
The residual torsion-free nilpotence of the commutator subgroup of a knot group has played a key role in studying the bi-orderability of knot groups. A technique developed by Mayland provides a sufficient condition for the commutator subgroup of a knot group to be residually-torsion-free nilpotent using work of Baumslag. In this paper, we apply Mayland's technique to several genus one pretzel knots and a family of pretzel knots with arbitrarily high genus. As a result, we obtain a large number of new examples of knots with bi-orderable knot groups. These are the first examples of bi-orderable knot groups for knots which are not fibered or alternating.
