Handbook of finite translation planes
by
 
Johnson, Norman L. (Norman Lloyd), 1939, author.

Title
Handbook of finite translation planes

Author
Johnson, Norman L. (Norman Lloyd), 1939, author.

ISBN
9780429140280

Physical Description
1 online resource (xix, 861 pages)

Series
Monographs and textbooks in pure and applied mathematics ; 289

Contents
chapter 1 An Overview -- chapter 2 Translation Plane Structure Theory -- chapter 3 Partial Spreads and Translation Nets -- chapter 4 Partial Spreads and Generalizations -- chapter 5 Quasifields -- chapter 6 Derivation -- chapter 7 Frequently Used Tools -- chapter 8 Sharply Transitive Sets -- chapter 9 SL(2, p)× SL(2, p)-Planes -- chapter 10 Classical Semifields -- chapter 11 Groups of Generalized Twisted Field Planes -- chapter 12 Nuclear Fusion in Semifields -- chapter 13 Cyclic Semifields -- chapter 14 T -Cyclic GL(2, q)-Spreads -- chapter 15 Cone Representation Theory -- chapter 16 Andre´ Net Replacements and Ostrom–Wilke Generalizations -- chapter 17 Foulser’s λ-Planes -- chapter 18 Regulus Lifts, Fields -- chapter 19 Hyper-Reguli Arising from Andre´ Hyper-Reguli -- chapter 20 Translation Planes with Large Homology Groups -- chapter 21 Derived Generalized Andre´ Planes -- chapter 22 The Classes of Generalized Andre´ Planes -- chapter 23 C-System Nearfields -- chapter 24 Subregular Spreads -- chapter 25 Fano Configurations -- chapter 26 Fano Configurations in Generalized Andre´ Planes -- chapter 27 Planes with Many Elation Axes -- chapter 28 Klein Quadric -- chapter 29 Parallelisms -- chapter 30 Transitive Parallelisms -- chapter 31 Ovoids -- chapter 32 Known Ovoids -- chapter 33 Simple T -Extensions of Derivable Nets -- chapter 34 Baer Groups on Parabolic Spreads -- chapter 35 Algebraic Lifting -- chapter 36 Semifield Planes of Orders q4, q6 -- chapter 37 Known Classes of Semifields -- chapter 38 Methods of Oyama, and the Planes of Suetake -- chapter 39 Coupled Planes -- chapter 40 Hyper-Reguli -- chapter 41 Subgeometry Partitions -- chapter 42 Groups on Multiple Hyper-Reguli -- chapter 43 Hyper-Reguli of Dimension 3 -- chapter 44 Elation-Baer Incompatibility -- chapter 45 Hering–Ostrom Elation Theorem -- chapter 46 Baer Elation Theory -- chapter 47 Spreads Admitting Unimodular Sections—Foulser–Johnson Theorem -- chapter 48 Spreads of Order q2—Groups of Order q2 -- chapter 49 Transversal Extensions -- chapter 50 Indicator Sets -- chapter 51 Geometries and Partitions -- chapter 52 Maximal Partial Spreads -- chapter 53 Sperner Spaces -- chapter 54 Conical Flocks -- chapter 55 Ostrom and Flock Derivation -- chapter 56 Transitive Skeletons -- chapter 57 BLT -Set Examples -- chapter 58 Many Ostrom-Derivates -- chapter 59 Infinite Classes of Flocks -- chapter 60 Sporadic Flocks -- chapter 61 Hyperbolic Fibrations -- chapter 62 Spreads with ‘Many’ Homologies -- chapter 63 Nests of Reguli -- chapter 64 Chains -- chapter 65 Multiple Nests -- chapter 66 A Few Remarks on Isomorphisms -- chapter 67 Flag-Transitive Geometries -- chapter 68 Quartic Groups in Translation Planes -- chapter 69 Double Transitivity -- chapter 70 Triangle Transitive Planes -- chapter 71 Hiramine–Johnson–Draayer Theory -- chapter 72 Bol Planes -- chapter 73 2/3-Transitive Axial Groups -- chapter 74 Doubly Transitive Ovals and Unitals -- chapter 75 Rank 3 Affine Planes -- chapter 76 Transitive Extensions -- chapter 77 Higher-Dimensional Flocks -- chapter 78 j. j-Planes -- chapter 79 Orthogonal Spreads -- chapter 80 Symplectic Groups—The Basics -- chapter 81 Symplectic Flag-Transitive Spreads -- chapter 82 Symplectic Spreads -- chapter 83 When Is a Spread Not Symplectic? -- chapter 84 When Is a Spread Symplectic? -- chapter 85 The Translation Dual of a Semifield -- chapter 86 Unitals in Translation Planes -- chapter 87 Hyperbolic Unital Groups -- chapter 88 Transitive Parabolic Groups -- chapter 89 Doubly Transitive Groups -- chapter 90 Retraction -- chapter 91 Multiple Spread Retraction -- chapter 92 Transitive Baer Subgeometry Partitions -- chapter 93 Geometric and Algebraic Lifting -- chapter 94 Quasi-Subgeometry Partitions -- chapter 95 Hyper-Regulus Partitions -- chapter 96 Small-Order Translation Planes -- chapter 97 Dual Translation Planes and Their Derivates -- chapter 98 Affine Planes with Transitive Groups -- chapter 99 Cartesian Group Planes—Coulter–Matthews -- chapter 100 Planes Admitting PGL(3, q) -- chapter 101 Planes of Order… -- chapter 102 Real Orthogonal Groups and Lattices -- chapter 103 Aspects of Symplectic and Orthogonal Geometry -- chapter 104 Fundamental Results on Groups -- chapter 105 Atlas of Planes and Processes.

Subject Term
Translation planes -- Handbooks, manuals, etc.

Added Author
Jha, Vikram, 1943-
 
Biliotti, Mauro, 1949-

Electronic Access
Click here to view.


LibraryMaterial TypeItem BarcodeShelf Number[[missing key: search.ChildField.HOLDING]]Status
Online LibraryE-Book543991-1001QA477 .J63 2007CRC E-Books