论文标题
有限提出的群体的分歧
Divergence of finitely presented groups
论文作者
论文摘要
我们建立了有限呈现的群体的家庭,这些家庭表现出新的分歧行为;我们获得了$ r^α$的差异功能,用于[2,\ infty)$中的一组密集的指数$α\ in Integers $ n \ geq 2 $。相同的结构还产生了有限呈现的群体的例子,这些群体包含不签约的摩尔斯元素。
We construct families of finitely presented groups exhibiting new divergence behavior; we obtain divergence functions of the form $r^α$ for a dense set of exponents $α\in [2,\infty)$ and $r^n\log(r)$ for integers $n \geq 2$. The same construction also yields examples of finitely presented groups which contain Morse elements that are not contracting.