A01=Ian Chiswell
Author_Ian Chiswell
Category=PBG
Category=PBP
CW-Complex
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Group Action
Hyperbolic Surface
Isometry
Lambda-Tree
Lyndon Length Function
Measured Lamination
Metric Space
Non-Standard Free Group
Ordered Abelian Group
System of Isometries
Valuation
Product details
- ISBN 9789810243869
- Publication Date: 01 Mar 2001
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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The theory of Λ-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 Λ-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 Λ-tree, where Λ 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 progress for certain other ordered abelian groups Λ, including some interesting connections with model theory.Introduction to Λ-Trees will prove to be useful for mathematicians and research students in algebra and topology.
