Weight elements of the knot groups of some 3-strand pretzel knots
Weight elements of the knot groups of some 3-strand pretzel knots
复制标题
部分3股椒盐结结组的重量元素
DOI：
10.1017/s0004972718000539
复制
发表时间：
2018
影响因子：
0.7
通讯作者：
Masakazu Teragaito
中科院分区：
文献类型：
--
作者：
Kentaro Hara;Akifumi Sako;佐藤進;遠藤久顕;Masakazu Teragaito
纽结群的权重为1，因此通常由纽结群的称为权重元素的单个元素生成。子午线是一个典型的重量元素，但有些纽结组允许其他重量元素。我们表明，对于一些无限类的三股椒盐卷饼结和所有总理结多达8个交叉点，结组承认的重量元素，是不是自守图像的子午线。
A knot group has weight one, so is normally generated by a single element called a weight element of the knot group. A meridian is a typical weight element, but some knot groups admit other weight elements. We show that for some infinite classes of three-strand pretzel knots and all prime knots with up to eight crossings, the knot groups admit weight elements that are not automorphic images of meridians.