Pseudogroups of isometries of ℝ and Rips’ theorem on free actions on ℝ-trees
Pseudogroups of isometries of ℝ and Rips’ theorem on free actions on ℝ-trees
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ℝ 等距伪群和 ℝ 树上自由作用的 Rips 定理
DOI：
10.1007/bf02773004
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发表时间：
1994
影响因子：
1
通讯作者：
F. Paulin
中科院分区：
文献类型：
--
作者：
D. Gaboriau;G. Levitt;F. Paulin
利用动力系统和测量叶理的方法，证明了Rips定理：自由作用在一棵树上的自由生成群是自由交换群与曲面群的自由积.
We give a proof of Rips’ theorem that a finitely generated group acting freely on an ℝ-tree is a free product of free abelian groups and surface groups, using methods of dynamical systems and measured foliations.