Combinatorics of spreads and parallelisms
by
 
Johnson, Norman L. (Norman Lloyd), 1939, author.

Title
Combinatorics of spreads and parallelisms

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

ISBN
9780429143823

Physical Description
1 online resource (664 pages)

Series
Pure and applied mathematics
 
Lecture notes in pure and applied mathematics.

Contents
part Part 1. Partitions of Vector Spaces -- chapter 1 Quasi-subgeometry Partitions -- chapter 2 Finite Focal-Spreads -- chapter 3 Generalizing André Spreads -- chapter 4 The Going Up Construction for Focal-Spreads -- part Part 2. Subgeometry Partitions -- chapter 5 Subgeometry and Quasi-subgeometry Partitions -- chapter 6 Subgeometries from Focal-Spreads -- chapter 7 Extended André Subgeometries -- chapter 8 Kantors Flag-Transitive Designs -- chapter 9 Maximal Additive Partial Spreads -- part Part 3. Subplane Covered Nets and Baer Groups -- chapter 10 Partial Desarguesian t-Parallelisms -- chapter 11 Direct Products of A¢ ne Planes -- chapter 12 Jha-Johnson SL(2; q) C-Theorem -- chapter 13 Baer Groups of Nets -- chapter 14 Ubiquity of Subgeometry Partitions -- part Part 4. Flocks and Related Geometries -- chapter 15 Spreads Covered by Pseudo-Reguli -- chapter 16 Flocks -- chapter 17 Regulus-Inducing Homology Groups -- chapter 18 Hyperbolic Fibrations and Partial Flocks -- chapter 19 j-Planes and Monomial Flocks -- part Part 5. Derivable Geometries -- chapter 20 Flocks of -Cones -- chapter 21 Parallelisms of Quadric Sets -- chapter 22 Sharply k-Transitive Sets -- chapter 23 Transversals to Derivable Nets -- chapter 24 Partially Flag-Transitive A¢ ne Planes -- chapter 25 Special Topics on Parallelisms -- part Part 6. Constructions of Parallelisms -- chapter 26 Regular Parallelisms -- chapter 27 Beutelspachers Construction of Line Parallelisms -- chapter 28 Johnson Partial Parallelisms -- chapter Part 7. Parallelism-Inducing Groups -- chapter 29 Parallelism-Inducing Groups for Pappian Spreads -- chapter 30 Linear and Nearfield Parallelism-Inducing Groups -- chapter 31 General Parallelism-Inducing Groups -- part Part 8. Coset Switching -- chapter 32 Finite E-Switching -- chapter 33 Parallelisms over Ordered Fields -- chapter 34 General Elation Switching -- chapter 35 Dual Parallelisms -- part Part 9. Transitivity -- chapter 36 p-Primitive Parallelisms -- chapter 37 Transitive t-Parallelisms -- chapter 38 Transitive Deficiency One -- chapter 39 Doubly Transitive Focal-Spreads -- part Part 10. Appendices -- chapter 40 Open Problems -- chapter 41 Geometry Background -- chapter 42 The Klein Quadric -- chapter 43 Major Theorems of Finite Groups -- chapter 44 The Diagram.

Subject Term
Vector spaces.
 
Algebraic spaces.
 
Geometry, Projective.
 
Incidence algebras.

Electronic Access
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LibraryMaterial TypeItem BarcodeShelf Number[[missing key: search.ChildField.HOLDING]]Status
Online LibraryE-Book541060-1001QA186 .J64 2010CRC E-Books