Preface ....................................................... vii
Chapter 1. Affine Coxeter Diagrams ............................. 1
Chapter 2. Root Systems ....................................... 13
Chapter 3. Root Data with Valuation ........................... 25
Chapter 4. Sectors ............................................ 39
Chapter 5. Faces .............................................. 45
Chapter 6. Gems ............................................... 53
Chapter 7. Affine Buildings ................................... 59
Chapter 8. The Building at Infinity ........................... 67
Chapter 9. Trees with Valuation ............................... 77
Chapter 10. Wall Trees ......................................... 89
Chapter 11. Panel Trees ....................................... 101
Chapter 12. Tree-Preserving Isomorphisms ...................... 107
Chapter 13. The Moufang Property at Infinity .................. 119
Chapter 14. Existence ......................................... 131
Chapter 15. Partial Valuations ................................ 147
Chapter 16. Bruhat-Tits Theory ................................ 159
Chapter 17. Completions ....................................... 167
Chapter 18. Automorphisms and Residues ........................ 175
Chapter 19. Quadrangles of Quadratic Form Type ................ 189
Chapter 20. Quadrangles of Indifferent Type ................... 205
Chapter 21. Quadrangles of Type E6, E7 and E8 ................. 209
Chapter 22. Quadrangles of Type F4 ............................ 221
Chapter 23. Quadrangles of Involutory Type .................... 229
Chapter 24. Pseudo-Quadratic Quadrangles ...................... 239
Chapter 25. Hexagons .......................................... 261
Chapter 26. Assorted Conclusions .............................. 275
Chapter 27. Summary of the Classification ..................... 289
Chapter 28. Locally Finite Bruhat-Tits Buildings .............. 297
Chapter 29. Appendix A ........................................ 321
Chapter 30. Appendix В ........................................ 343
Bibliography .................................................. 361
Index ......................................................... 365
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