论文标题
线性Schreier图的组生长
Growth of groups with linear Schreier graphs
论文作者
论文摘要
我们介绍了一种新方法，以证明有限生成的群体增长的上层估计值，并使用其作用图构建了中间生长的组。这些估计值是一些$α<1 $的$ \ exp（n^α）$的形式，并为简单的中间增长组提供了此类界限的第一个示例。
We introduce a new method of proving upper estimates of growth of finitely generated groups and constructing groups of intermediate growth using graphs of their actions. These estimates are of the form $\exp(n^α)$ for some $α<1$, and provide the first examples of such bounds for simple groups of intermediate growth.
