论文标题
几乎是两步的尼尔植物组，具有多项式测量生长
A virtually 2-step nilpotent group with polynomial geodesic growth
论文作者
论文摘要
Gromov定理的直接结果是，如果一组相对于某些有限生成集具有多项式测量生长，那么它实际上是nilpotent。但是，到目前为止，唯一已知的例子实际上是Abelian。在本说明中，我们提供了一个实际上2步nilpotent组相对于某些有限生成集具有多项式测量生长的示例。
A direct consequence of Gromov's theorem is that if a group has polynomial geodesic growth with respect to some finite generating set then it is virtually nilpotent. However, until now the only examples known were virtually abelian. In this note we furnish an example of a virtually 2-step nilpotent group having polynomial geodesic growth with respect to a certain finite generating set.
