标题： 有限图中的正交系统 显示英文标题

标题： Orthogonal Systems in Finite Graphs

摘要： 给定一个有限图G，存在一个由G的顶点作为生成元的群，当且仅当(x,y)是G的一条边时，生成元x和y满足关系[x,y]=1。这样的群被称为部分交换群（或右角Artin群）。 在本文中，我们为图构建正交性理论，目的是研究部分交换群。 这里开发的理论为研究部分交换群的中心化子格结构及其自同构群提供了工具。 显示英文摘要

摘要： Given a finite graph G there is a corresponding group given by the presentation with generators the vertices of G and a relation [x,y]=1 for generators x and y precisely when (x,y) is an edge of G. Such groups are known as partially commutative groups (or right-angled Artin groups). In this paper we construct orthogonality theory for graphs with the study of partially commutative groups in mind. The theory developed here provides tools for the study of the structure of the centraliser lattice of partially commutative groups and for their automorphism groups.