论文标题
次要辫子小组
Secondary Braid Groups
论文作者
论文摘要
我们将基本判别式补充的基本介绍概括,并在字母$σ_1,\ dots,σ_{n-1} $的自由单词中自然而然地进行了一类演示。我们的研究介绍了这些演示文稿的不变性属性和在各种操作下的列表中的群体。特别是,我们证明该组仅取决于正编织中的相应元素,并且仅在辫子组中仅在其共轭类别上的轻度假设下。
We generalize presentations of the fundamental group of discriminant complements and arrive at a class of presentations associated naturally with words in the free monoid of the alphabet $σ_1,\dots,σ_{n-1}$. Our study addresses invariance properties of these presentations and the presented groups under various operations on the words. In particular we prove that the group does only depend on the corresponding element in the positive braid monoid, and under mild hypotheses only on its conjugacy class in the braid group.