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- DescriptionThe theory of LAMBDA-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 LAMBDA-trees was established by Morgan and Shalen, who showed how to compactify a generalisation of Teichmuller space for a finitely generated group using R-trees. In that work they were led to define the idea of a LAMBDA-tree, where LAMBDA is an arbitrary ordered abelian group. Since then there has been much progress in understanding the structure of groups acting on R-trees, tably Rips' theorem on free actions. There has also been some progress for certain other ordered abelian groups LAMBDA, including some interesting connections with model theory.Introduction to LAMBDA-Trees will prove to be useful for mathematicians and research students in algebra and topology.
- Author(s)Ian Chiswell
- PublisherWorld Scientific Publishing Co Pte Ltd
- Date of Publication01/02/2001
- Place of PublicationSingapore
- Country of PublicationSingapore
- ImprintWorld Scientific Publishing Co Pte Ltd
- Content Noteblack & white illustrations
- Width165 mm
- Height230 mm
- Spine0 mm
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