On Hausdorff-Gromov convergence and a theorem of Paulin (Q1909677)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On Hausdorff-Gromov convergence and a theorem of Paulin |
scientific article; zbMATH DE number 856842
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Hausdorff-Gromov convergence and a theorem of Paulin |
scientific article; zbMATH DE number 856842 |
Statements
On Hausdorff-Gromov convergence and a theorem of Paulin (English)
0 references
9 September 1996
0 references
Summary: We give an elementary account of ideas related to Hausdorff-Gromov convergence and explain how, among other things, these ideas can be used to prove a theorem of F. Paulin: If a group \(\Gamma\) is word hyperbolic and its outer automorphism group is infinite, then \(\Gamma\) acts by isometries on an \(\mathbb{R}\)-tree with virtually cyclic segment stabilizers and no global fixed points.
0 references
theorem of Paulin
0 references
word hyperbolic groups
0 references
Hausdorff-Gromov convergence
0 references
outer automorphism groups
0 references
virtually cyclic segment stabilizers
0 references
