论文标题
CAT（0）组有限呈现的亚组的分歧
Divergence of finitely presented subgroups of CAT(0) groups
论文作者
论文摘要
我们构建了$ cat（0）$组的家庭，其中包含有限呈现的组的差异函数的形式为$ r^α$，用于一组密集的指数$α\ [2，\ infty）$和$ r^q \ log（r log（r）$ in Integers $ q \ egeq 2 $。相同的构造还产生了$ cat（0）$组的示例，这些$组包含在某些有限提出的子组中没有收缩的合同元素。
We construct families of $CAT(0)$ groups containing finitely presented groups whose divergence functions are of the form $r^α$ for a dense set of exponents $α\in [2,\infty)$ and $r^q\log(r)$ for integers $q \geq 2$. The same construction also yields examples of $CAT(0)$ groups containing contracting elements which are not contracting in certain finitely presented subgroups.
