Partitions of Vector Spaces
Quasi-Subgeometry Partitions
Finite Focal-Spreads
Generalizing André Spreads
The Going Up Construction for Focal-Spreads
Subgeometry Partitions
Subgeometry and Quasi-Subgeometry Partitions
Subgeometries from Focal-Spreads
Extended André Subgeometries
Kantor’s Flag-Transitive Designs
Maximal Additive Partial Spreads
Subplane Covered Nets and Baer Groups
Partial Desarguesian t-Parallelisms
Direct Products of Affine Planes
Jha-Johnson SL(2, q) × C-Theorem
Baer Groups of Nets
Ubiquity of Subgeometry Partitions
Flocks and Related Geometries
Spreads Covered by Pseudo-Reguli
Flocks
Regulus-Inducing Homology Groups
Hyperbolic Fibrations and Partial Flocks
j-Planes and Monomial Flocks
Derivable Geometries
Flocks of a-Cones
Parallelisms of Quadric Sets
Sharply k-Transitive Sets
Transversals to Derivable Nets
Partially Flag-Transitive Affine Planes
Special Topics on Parallelisms
Constructions of Parallelisms
Regular Parallelisms
Beutelspacher’s Construction of Line Parallelisms
Johnson Partial Parallelisms
Parallelism-Inducing Groups
Parallelism-Inducing Groups for Pappian Spreads
Linear and Nearfield Parallelism-Inducing Groups
General Parallelism-Inducing Groups
Coset Switching
Finite E-Switching
Parallelisms over Ordered Fields
General Elation Switching
Dual Parallelisms
Transitivity
p-Primitive Parallelisms
Transitive t-Parallelisms
Transitive Deficiency One
Doubly Transitive Focal-Spreads
Appendices
Open Problems
Geometry Background
The Klein Quadric
Major Theorems of Finite Groups
The Diagram
Bibliography
Index
Biography
Norman L. Johnson is a professor in the Department of Mathematics at the University of Iowa.
