Foundations of Translation Planes
eBook - ePub

Foundations of Translation Planes

  1. 558 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Foundations of Translation Planes

About this book

An exploration of the construction and analysis of translation planes to spreads, partial spreads, co-ordinate structures, automorphisms, autotopisms, and collineation groups. It emphasizes the manipulation of incidence structures by various co-ordinate systems, including quasisets, spreads and matrix spreadsets. The volume showcases methods of str

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Information

Publisher
CRC Press
Year
2001
Topic
Mathematics
eBook ISBN
9781040213346
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Cover
  2. Half Title
  3. Frontmatter
  4. Frontmatter
  5. Title Page
  6. Copyright Page
  7. Dedication
  8. PREFACE
  9. Table of Contents
  10. Chapter 1: An Overview
  11. Chapter 2: André’s Theory of Spreads
  12. Chapter 3: Spreads in PG(3,K)
  13. Chapter 4: Partial Spreads and Translation Nets
  14. Chapter 5: Spreadsets and Partial Spreadsets
  15. Chapter 6: Geometry of Spreadsets: ∇(τ)
  16. Chapter 7: Coordinatization by Spreadsets: General Cases
  17. Chapter 8: Partial Quasifields
  18. Chapter 9: Coordinatization by (Partial) Quasifields
  19. Chapter 10: Rational Desarguesian Nets
  20. Chapter 11: Quasigroups, Loops and Nuclei
  21. Chapter 12: (Pre)Quasifields: Algebraic Axioms and Autotopisms
  22. Chapter 13: The Kernel of Spreadsets and Quasifields
  23. Chapter 14: Quadratics of TwoDimensional Quasifields: Hall Systems
  24. Chapter 16: Kernel Subplanes across Desarguesian Nets
  25. Chapter 17: Derivation of Finite Spreads
  26. Chapter 18: Foulser’s Covering Theorem
  27. Chapter 19: Structure of Baer Groups
  28. Chapter 20: Frobenius Complements, p-Primitive Collineations, and Klein 4-Groups
  29. Chapter 21: Large Planar Groups
  30. Chapter 22: Finite Generalized André Systems and Nearfields
  31. Chapter 23: Elation Net Theory
  32. Chapter 24: Baer-Elation Theory
  33. Chapter 25: Semifields
  34. Chapter 26: Simple T-Extensions of Derivable Nets
  35. Chapter 27: Cyclic Semifields
  36. Chapter 28: Baer Groups on Parabolic Spreads
  37. Chapter 29: Lifting and Quasifibrations
  38. Chapter 30: Mixed Tangentially Transitive Planes
  39. Chapter 31: Maximal Partial Spreads
  40. Chapter 32: Foulser-Johnson SL(2, q)-Theorem
  41. APPENDICES
  42. BIBLIOGRAPHY
  43. INDEX

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Yes, you can access Foundations of Translation Planes by Mauro Biliotti,Vikram Jha,Norman Johnson in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over 1.5 million books available in our catalogue for you to explore.