| Description |
1 online resource (328 pages) |
| Contents |
5. Hyperbolic surfaces 6. Spaces of actions on R-trees ; Chapter 5. Free Actions ; 1. Introduction ; 2. Harrison's Theorem ; 3. Some examples ; 4. Free actions of surface groups ; 5. Non-standard free groups ; Chapter 6. Rips' Theorem ; 1. Systems of isometries |
|
2. Minimal components 3. Independent generators ; 4. Interval exchanges and conclusion ; References ; Index of Notation ; Index |
| Summary |
The theory of?-trees has its origin in the work of Lyndon on length functions in groups. The first definition of an R -tree was given by Tits in 1977. The importance of?-trees was established by Morgan and Shalen, who showed how to compactify a generalisation of Teichmüller space for a finitely generated group using R -trees. In that work they were led to define the idea of a?-tree, where? is an arbitrary ordered abelian group. Since then there has been much progress in understanding the structure of groups acting on R -trees, notably Rips' theorem on free actions. There has also been some |
| Notes |
Print version record |
| Subject |
Group theory.
|
|
Lambda algebra.
|
|
Trees (Graph theory)
|
|
Group theory
|
|
Lambda algebra
|
|
Trees (Graph theory)
|
| Form |
Electronic book
|
| ISBN |
9789812810533 |
|
9812810536 |
|
