Cargando…

Introduction to Lambda Trees.

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 Teichmüller space for a finitely gen...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Chiswell, Ian
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific Publishing Company, 2001.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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 Teichmüller 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.
Descripción Física:1 online resource (328 pages)
ISBN:9789812810533
9812810536