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A universal construction for groups acting freely on real trees /

The theory of R-trees is a well-established and important area of geometric group theory and in this book the authors introduce a construction that provides a new perspective on group actions on R-trees. They construct a group RF(G), equipped with an action on an R-tree, whose elements are certain f...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Chiswell, Ian, 1948-
Otros Autores: Müller, T. W. (Thomas Wolfgang), 1957-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2012.
Colección:Cambridge tracts in mathematics ; 195.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction
  • 2. The group R F (G)
  • 3. The R-tree X[g subscript] associated with RF (G)
  • 4. Free R-tree actions and universality
  • 5. Exponent sums
  • 6. Functionality
  • 7. Conjugacy of hyperbolic elements
  • 8. The centalisers of hyperbolic elements
  • 9. Test functions: basic theory and first applications
  • 10. Test functions: existence theorem and further applications
  • 11. A generation to groupoids
  • Appendices.