论文标题

旋转组,中间图和周围小组:Coxeter组的统一观点和组的图表

Rotation groups, mediangle graphs, and periagroups: a unified point of view on Coxeter groups and graph products of groups

论文作者

Genevois, Anthony

论文摘要

在本文中,我们将旋转组引入了Coxeter组和群体图(包括右角ARTIN组)的共同概括。我们通过演讲(周围小组)以代数来表征这些组,并提出一个组合几何形状(中间图)来研究它们。作为应用程序,我们为Coxeter组和组的图形产品提供了自然和统一的证据。

In this article, we introduce rotation groups as a common generalisation of Coxeter groups and graph products of groups (including right-angled Artin groups). We characterise algebraically these groups by presentations (periagroups) and we propose a combinatorial geometry (mediangle graphs) to study them. As an application, we give natural and unified proofs for several results that hold for both Coxeter groups and graph products of groups.

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