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12. Growth of Groups
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Chapters in this book
- Frontmatter i
- Contents vii
- Preface xi
- Acknowledgments xiii
-
Part 1. Groups and Spaces
- 1. Groups 3
- 2. ... and Spaces 21
-
Part 2. Free Groups
- 3. Groups Acting on Trees 45
- 4. Free Groups and Folding 66
- 5. The Ping-Pong Lemma 85
- 6. Automorphisms of Free Groups 106
-
Part 3. Large Scale Geometry
- 7. Quasi-isometries 125
- 8. Dehn Functions 146
- 9. Hyperbolic Groups 176
- 10. Ends of Groups 203
- 11. Asymptotic Dimension 219
- 12. Growth of Groups 237
-
Part 4. Examples
- 13. Coxeter Groups 269
- 14. Right-Angled Artin Groups 291
- 15. Lamplighter Groups 310
- 16. Thompson’s Group 331
- 17. Mapping Class Groups 358
- 18. Braids 384
- Bibliography 419
- Index 437
Chapters in this book
- Frontmatter i
- Contents vii
- Preface xi
- Acknowledgments xiii
-
Part 1. Groups and Spaces
- 1. Groups 3
- 2. ... and Spaces 21
-
Part 2. Free Groups
- 3. Groups Acting on Trees 45
- 4. Free Groups and Folding 66
- 5. The Ping-Pong Lemma 85
- 6. Automorphisms of Free Groups 106
-
Part 3. Large Scale Geometry
- 7. Quasi-isometries 125
- 8. Dehn Functions 146
- 9. Hyperbolic Groups 176
- 10. Ends of Groups 203
- 11. Asymptotic Dimension 219
- 12. Growth of Groups 237
-
Part 4. Examples
- 13. Coxeter Groups 269
- 14. Right-Angled Artin Groups 291
- 15. Lamplighter Groups 310
- 16. Thompson’s Group 331
- 17. Mapping Class Groups 358
- 18. Braids 384
- Bibliography 419
- Index 437