论文标题
关于多项式生长的组结构III
On the structure of groups with polynomial growth III
论文作者
论文摘要
我们表明，与没有非平凡的正常亚组的紧凑型局部紧凑的多项式生长基团可以嵌入一个共同连接的，简单连接的，nilpotent的谎言组和紧凑型组的半程产物中。此扩展程序也有一个独特的说明。
We show that a compactly generated locally compact group of polynomial growth having no non-trivial compact normal subgroups can be embedded as a co-compact subgroup into a semidirect product of a connected, simply connected, nilpotent Lie group and a compact group. There is also a uniqueness statement for this extension.
