论文标题
Dehn Quandles的演讲
Presentations of Dehn quandles
论文作者
论文摘要
本文提供了两种方法，使用其基础群体的演示文稿为Dehn Quandles类撰写明确的演讲。第一种方法为Dehn Quandles提供了有限的演讲，该类别的Garside群体和高斯群体。第二种方法是当已知其基础群体的发电机中心者时，Dehn Quandles将军。给出了几个示例，包括球形Artin组的Dehn Quandles，表面组和映射可定向表面的类群，以说明结果。
The paper gives two approaches to write explicit presentations for the class of Dehn quandles using presentations of their underlying groups. The first approach gives finite presentations for Dehn quandles of a class of Garside groups and Gaussian groups. The second approach is for general Dehn quandles when the centralisers of generators of their underlying groups are known. Several examples including Dehn quandles of spherical Artin groups, surface groups and mapping class groups of orientable surfaces are given to illustrate the results.
