论文标题
关于Coxeter系统的刚性，直到有限的扭曲和Coxeter生成集的分离
On rigidity of Coxeter systems up to finite twists and separations of Coxeter generating sets
论文作者
论文摘要
在本文中，我们研究了Coxeter系统和Coxeter系统的刚性的扭曲键，以进行有限的曲折。对于Coxeter Systems $（W，r）$和$（W，S）$，在共轭子集的Untangle-Condition下，我们研究了分离和类型（i）和类型（II）$ r $和$ s $的子集，并提供$ r $和$ r $和$ s $的等效条件，这些条件是偶发的曲式。我们为解决有限等级的Coxeter组解决了一个方法，以解决扭曲注射和同构问题。
In this paper, we study the twist-conjecture for Coxeter systems and rigidity of Coxeter systems up to finite twists. For Coxeter systems $(W,R)$ and $(W,S)$, under the untangle-condition for conjugate subsets, we investigate separations and type(I) and type(II) subsets of $R$ and $S$ and give an equivalent condition of $R$ and $S$ that are conjugate up to finite twists. We provide one direction of approach to solving the twist-conjecture and the isomorphism problem for Coxeter groups of finite ranks.
