论文标题
表征右角的差异和厚度
Characterizing divergence and thickness in right-angled Coxeter groups
论文作者
论文摘要
我们完全对右角Coxeter组（RACG）完全分类了可能的差异函数。特别是，我们表明任何此类群体的差异都是多项式，指数或无限的。当且仅当其差异函数是k+1的多项式时，我们证明了racg的速度为k。此外，我们表明，RACG的确切差异函数可以通过我们称为HyperGraph Index的不变图从其定义图中轻松计算。
We completely classify the possible divergence functions for right-angled Coxeter groups (RACGs). In particular, we show that the divergence of any such group is either polynomial, exponential or infinite. We prove that a RACG is strongly thick of order k if and only if its divergence function is a polynomial of degree k+1. Moreover, we show that the exact divergence function of a RACG can easily be computed from its defining graph by an invariant we call the hypergraph index.
