群的分担粗糙与拟等距
Shared Rough and Quasi-Isometries of Groups
摘要：
我们提出了一个变化的准等距接近的问题，定义一个几何概念等价于可扩展性。简而言之，这种变化可以概括为“对于足够大的生成系统族具有均匀参数的准等距”。两个类似的概念（分别使用等距和粗糙等距）一起提出。本文主要是根据作者博士论文（\cite{Lochmann_dissertation}）中的一章撰写的。
英文摘要：
We present a variation of quasi-isometry to approach the problem of defining a geometric notion equivalent to commensurability. In short, this variation can be summarized as "quasi-isometry with uniform parameters for a large enough family of generating systems". Two similar notions (using isometries and rough isometries instead, respectively) are presented alongside. This article is based mainly on a chapter of the author's doctoral thesis (\cite{Lochmann_dissertation}).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
