Introduction To Lambda Trees
by
Ian Chiswell
Book Details
Format
Hardback or Cased Book
ISBN-10
9810243863
ISBN-13
9789810243869
Publisher
World Scientific Publishing Co Pte Ltd
Imprint
World Scientific Publishing Co Pte Ltd
Country of Manufacture
SG
Country of Publication
GB
Publication Date
Mar 1st, 2001
Print length
328 Pages
Weight
560 grams
Dimensions
16.20 x 22.40 x 2.20 cms
Product Classification:
Groups & group theoryTopology
Ksh 20,150.00
Publisher Out of Stock
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Quality
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An introductory text on lambda-trees. It should be suitable for research students in algebra and topology, and covers: the construction of lambda-trees; the isometries of lambda-trees; aspects of group actions on lambda-trees; free actions; and Rips' Theorem.
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.
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