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In This Chapter
-
Finite
Geometry
- Projective Planes
- Affine Planes
- Projective Spaces
- Affine Spaces
- Subplanes
- Baer Subgeometries
- Collineations
- Spreads
- Arcs, Ovals, Hyperovals, and Normal Rational Curves
- {k; r}-Arcs
- Caps
- Unitals
- Blocking Sets
- Nondesarguesian Planes
- Coordinatization of Arbitrary Projective Planes
- Hall and André Planes
- Semifields
- The Hughes Planes
- The Figueroa Planes
- Derivation
- Projective Planes of Small Order
- Substructures in Nondesarguesian Planes
Abstract
2.1
A finite incidence structure, or finite geometry, P = ( P , L , I ) is a finite set of points P , a finite set of lines L , and an incidence relation I between them.
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