Geometry of Derivation, Volume III

Part 1: The Classification of Flocks 1. The Classes of Flocks 2. General Theorems of Flocks 3. The Isomorphism Questions Part 2: Multiple Replacementâ'Redux 4. Extension of Division Rings 5. Automorphism Groups of Division Rings 6. The Theorem of Andreâ 7. Dickson Nearfield Planes 8. Ostromâs Theorem Part 3: Simultaneous Flock Spreads 9. Simultaneous Spreads of Type 2 Part 4: Semifields over Division Rings 10. Twisted T-Copies 11. General Skewfield Lifts to Semifields 12. Central Extensions of Degree 3, 4 13. Central Cyclic Extensions Part 5: Lifting Skewsfields-Degree n 14. General Lifting Part 6: Kantor-Pentilla and CJV Ï â" Flokki 15. Transform and CJV-Methods 16. Choices of Representation Part 7: JPW-Hyperbolic Flocks 17. Idea of âLeft-Inversionâ Part 8: Non-Linear Hyperbolic Flocks 18. Adjoining Inner Derivation Functions 19. Resolved Conical Flocks 20. The Isomorphism Questions 21. The Hyperbolic Isomorphism Question Part 9: The Baer Flocks 22. Draxl's Theorem 23. Transposed Baer Flocks Part 10: Anti-Isomorphic Flocks 24. The Hyperbolic Flock Square Part 11: Elation Group Double Covers 25. The Three Spreads of a Double Cover 26. Skew-Desarguesian Spreads 27. Right Skew-Desarguesian Spreads Part 12: Strings 28. Strings of Quasfibrations and Spreads 29. Corresponding Right âFlocksâ Part 13: Switch and Imposter Switch 30. Derivation of Flock Spreads Part 14: Baer Groups over Skewfields 31. Point-Baer Subplanes of Planes 32. Baer Collineations in Translation Planes 33. Derived Spreads and Baer Groups 34. Deficiency One Flocks of Order p4 35. to-Interchange-Hyperbolic Spreads 36. to-Interchange-Conical Spreads 37. Left Inversing âMinus Oneâ 38. Deficiency One 39. Hyperbolic Skew-Desarguesian Flocks Part 15: Three Line Problem 40. Do Three Components define a Pseudo-Regulus? 41. Three Component-Three Point Construction Part 16: The Flocks and Spreads 42. Anti-Isomorphic Flocks 43. Constructions-Generalized Lifted 44. 1-A Conical Spreads 45. Flocks from Lifted Types 46. The Open Types and New Directions