论文标题
D_N类型的间隔组的同构和非同态性
Isomorphism and non-isomorphism for interval groups of type D_n
论文作者
论文摘要
我们考虑与Coxeter组$ w（d_n）$相关的间隔组中的\ cite {BaumeisterNeaimerees}中得出的演示文稿。我们使用组合方法来得出这些组的替代演示文稿，并使用这些新演示文稿表明与$ W（d_n）$相关的适当的准氧化元元素相关的间隔组与$ d_n $类型的Artin组相关。尽管我们解决的特定问题是由间隔组的研究引起的，但它们的解决方案提供了一个说明，说明了如何使用计算观察指示的技术来得出无限家族中所有组的性质。
We consider presentations that were derived in \cite{BaumeisterNeaimeRees} for the interval groups associated with proper quasi-Coxeter elements of the Coxeter group $W(D_n)$. We use combinatorial methods to derive alternative presentations for the groups, and use these new presentations to show that the interval group associated with a proper quasi-Coxeter element of $W(D_n)$ cannot be isomorphic to the Artin group of type $D_n$. While the specific problems we solve arise from the study of interval groups, their solution provides an illustration of how techniques indicated by computational observation can be used to derive properties of all groups within an infinite family.
