论文标题

Coxeter组的$ a $,$ b $和$ d $使用前缀 - 反转发电机的演示文稿

Presentations of Coxeter groups of type $A$, $B$, and $D$ using prefix-reversal generators

论文作者

Blanco, Saúl A., Buehrle, Charles

论文摘要

在这里,我们提供了三个新的演示文稿,包括使用前缀逆转(煎饼翻转)作为发电机的$ a $ a $,$ b $和$ d $的类型$ a $,$ b $和$ d $。我们通过在演示文稿上使用Tietze转换来证明这些演示是其各自的群体,以恢复众所周知的介绍,以相邻的转置的发电机。

Here we provide three new presentations of Coxeter groups type $A$, $B$, and $D$ using prefix reversals (pancake flips) as generators. We prove these presentations are of their respective groups by using Tietze transformations on the presentations to recover the well known presentations with generators that are adjacent transpositions.

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