The Structure of Spherical Buildings

Preface ix Chapter 1. Chamber Systems 1 Chapter 2. Coxeter Groups 9 Chapter 3. Roots 17 Chapter 4. Reduced Words 27 Chapter 5. Opposites 33 Chapter 6. 2-Interiors 41 Chapter 7. Buildings 47 Chapter 8. Apartments 61 Chapter 9. Spherical Buildings 73 Chapter 10. Extensions of Isometries 81 Chapter 11. The Moufang Property 91 Chapter 12. Root Group Labelings 117 References 131 Index 133