论文标题
Coxeter组的自动形态组的Coxeter商
Coxeter quotients of the automorphism group of a Coxeter group
论文作者
论文摘要
我们表明，对于Coxeter组的大型$ \ MATHCAL {W} $，以下是：给定一个$W_γ$ in $ \ MATHCAL {W} $中的$W_γ$，自动晶体组$ {\ rm aut}（w_γ）$实际上在某个Infinite Coxeter组上进行了支撑。特别是，几乎可以指示组$ {\ rm aut}（W_γ）$，因此没有Kazhdan的属性（T）。
We show that for a large class $\mathcal{W}$ of Coxeter groups the following holds: Given a group $W_Γ$ in $\mathcal{W}$, the automorphism group ${\rm Aut}(W_Γ)$ virtually surjects onto some infinite Coxeter group. In particular, the group ${\rm Aut}(W_Γ)$ is virtually indicable and therefore does not have Kazhdan's property (T).
