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OverviewThe 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 generalization 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, notably 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"" should prove useful for mathematicians and research students in algebra and topology. Full Product DetailsAuthor: Ian Chiswell (Univ Of London, Queen Mary And Westfield College, Uk)Publisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd ISBN: 9789810243869ISBN 10: 9810243863 Pages: 328 Publication Date: 01 March 2001 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsLambda-trees and their construction; isometries of Lambda-trees; aspects of group actions on Lambda-trees; free actions; Rips' theorem.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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