论文标题
有限呈现的组中的度量小取消密度
Density of Metric Small Cancellation in Finitely Presented Groups
论文作者
论文摘要
小取消组形成了一个有趣的类，具有许多理想的特性。众所周知的事实是，小型取消组是通用的。但是，所有先前已知的仿制家结果都是渐近的，并且没有提供有关“小”组演示的信息。在本说明中，我们在小型取消表现的密度上给出了上下边界的封闭式公式，并将我们的结果与实验数据进行比较。
Small cancellation groups form an interesting class with many desirable properties. It is a well-known fact that small cancellation groups are generic; however, all previously known results of their genericity are asymptotic and provide no information about "small" group presentations. In this note, we give closed-form formulas for both lower and upper bounds on the density of small cancellation presentations, and compare our results with experimental data.
