Ian Chiswell, Thomas Müller

A Universal Construction for Groups Acting Freely on Real Trees

• Gebundenes Buch

Produktbeschreibung

This coherent introduction provides a new perspective on group actions on R-trees.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 297
• Erscheinungstermin: 26. November 2012
• Englisch
• Abmessung: 229mm x 150mm x 25mm
• Gewicht: 544g
• ISBN-13: 9781107024816
• ISBN-10: 1107024811
• Artikelnr.: 36028507

Autorenporträt

Ian Chiswell is Emeritus Professor in the School of Mathematical Sciences at Queen Mary, University of London. His main area of research is geometric group theory, especially the theory of ¿-trees. Other interests have included cohomology of groups and ordered groups.

Inhaltsangabe

Preface
1. Introduction
2. The group RF(G)
3. The R-tree XG associated with RF(G)
4. Free R-tree actions and universality
5. Exponent sums
6. Functoriality
7. Conjugacy of hyperbolic elements
8. The centralizers of hyperbolic elements
9. Test functions: basic theory and first applications
10. Test functions: existence theorem and further applications
11. A generalization to groupoids
Appendix A. The basics of ¿-trees
Appendix B. Some open problems
References
Index.