论文标题
通用Coxeter组外太空的对称性
The symmetries of the Outer space of a universal Coxeter group
论文作者
论文摘要
本文研究了$ n $等级$ n $的通用coxeter集团的几何刚度，这是$ \ mathbb {z}/2 \ mathbb {z} $的免费产品$ w_n $ of $ n $副本。我们证明，对于$ n \ geq 4 $，$ w_n $的吉拉德尔 - 莱维特脊柱的对称性组还原为外部自动形态$ \ mathrm {out}（w_n）$。
This paper studies the geometric rigidity of the universal Coxeter group of rank $n$, which is the free product $W_n$ of $n$ copies of $\mathbb{Z}/2\mathbb{Z}$. We prove that for $n\geq 4$ the group of symmetries of the spine of the Guirardel-Levitt outer space of $W_n$ is reduced to the outer automorphism group $\mathrm{Out}(W_n)$.
