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Geometry of Derivation, Volume III : Classification of Skewfield Flocks
Geometry of Derivation, Volume III : Classification of Skewfield Flocks
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Author(s): Johnson, Norman L.
ISBN No.: 9781041290889
Pages: 360
Year: 202606
Format: Trade Cloth (Hard Cover)
Price: $ 196.00
Dispatch delay: Dispatched between 7 to 15 days
Status: Available (Forthcoming)

Part 1: The Classification of Flocks 1. The Classes of Flocks 2. General Theorems of Flocks 3. The Isomorphism QuestionsPart 2: Multiple Replacement'Redux 4. Extension of Division Rings 5. Automorphism Groups of Division Rings 6. The Theorem of Andre' 7. Dickson Nearfield Planes 8.


Ostrom's TheoremPart 3: Simultaneous Flock Spreads 9. Simultaneous Spreads of Type 2Part 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 ExtensionsPart 5: Lifting Skewsfields-Degree n 14. General LiftingPart 6: Kantor-Pentilla and CJV Ï - Flokki 15. Transform and CJV-Methods 16.


Choices of RepresentationPart 7: JPW-Hyperbolic Flocks 17. Idea of "Left-Inversion"Part 8: Non-Linear Hyperbolic Flocks 18. Adjoining Inner Derivation Functions 19. Resolved Conical Flocks 20. The Isomorphism Questions 21. The Hyperbolic Isomorphism QuestionPart 9: The Baer Flocks 22. Draxl's Theorem 23. Transposed Baer FlocksPart 10: Anti-Isomorphic Flocks 24.


The Hyperbolic Flock SquarePart 11: Elation Group Double Covers 25. The Three Spreads of a Double Cover 26. Skew-Desarguesian Spreads 27. Right Skew-Desarguesian SpreadsPart 12: Strings 28. Strings of Quasfibrations and Spreads 29. Corresponding Right "Flocks"Part 13: Switch and Imposter Switch 30. Derivation of Flock SpreadsPart 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 p 435. to -Interchange-Hyperbolic Spreads 36. to -Interchange-Conical Spreads 37. Left Inversing "Minus One" 38. Deficiency One 39. Hyperbolic Skew-Desarguesian FlocksPart 15: Three Line Problem 40.


Do Three Components define a Pseudo-Regulus? 41. Three Component-Three Point ConstructionPart 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.


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