Introduction To Lambda Trees (Hardback)Ian Chiswell (author)
Hardback 328 Pages / Published: 01/03/2001
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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 Teichmuller 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 progress for certain other ordered abelian groups , including some interesting connections with model theory.Introduction to -Trees will prove to be useful for mathematicians and research students in algebra and topology.
Publisher: World Scientific Publishing Co Pte Ltd
Number of pages: 328
Dimensions: 230 x 165 mm
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