论文标题
关于三角组的刚性刚度
On the profinite rigidity of triangle groups
论文作者
论文摘要
我们证明，某些Fuchsian三角形群体在绝对意义上是有限的刚性，即通过其一组有限的商来区分所有其他有限生成的，残留有限的组。我们还开发了一种基于字符品种的方法，该方法可用于区分某些组的详细完成。
We prove that certain Fuchsian triangle groups are profinitely rigid in the absolute sense, i.e. each is distinguished from all other finitely generated, residually finite groups by its set of finite quotients. We also develop a method based on character varieties that can be used to distinguish between the profinite completions of certain groups.
