Groups, graphs and trees: an introduction to the geometry of infinite groups

Abstract

Preface 1. Cayley's theorems 2. Groups generated by reflections 3. Groups acting on trees 4. Baumslag-Solitar groups 5. Words and Dehn's word problem 6. A finitely-generated, infinite, Torsion group 7. Regular languages and normal forms 8. The Lamplighter group 9. The geometry of infinite groups 10. Thompson's group 11. The large-scale geometry of groups Bibliography Index.