论文标题
关于外部自动形态的虚拟指示性和属性（t）
On virtual indicability and property (T) for outer automorphism groups of RAAGs
论文作者
论文摘要
我们在一个右角ARTIN组的定义图上给出了条件，这意味着其自动形态群实际上是可以指示的，也就是说，它具有有限的索引子组，该子组将同态性化在$ \ z $上。 我们将其用作标准的一部分，该标准确切地确定了何时在图上定义的右角ARTIN组的外部自动形态组，而没有链接相交的相交具有属性（t）。结果，我们还获得了图形的类似标准，在该图中，在Servatius的主导关系下，每个等效类都会生成一个Abelian群体。
We give a condition on the defining graph of a right-angled Artin group which implies its automorphism group is virtually indicable, that is, it has a finite-index subgroup that admits a homomorphism onto $\Z$. We use this as part of a criterion that determines precisely when the outer automorphism group of a right-angled Artin group defined on a graph with no separating intersection of links has property (T). As a consequence we also obtain a similar criterion for graphs in which each equivalence class under the domination relation of Servatius generates an abelian group.
