The Non-Solvable Rank 3 Affine Planes
โ Scribed by Mauro Biliotti; Norman L. Johnson
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 216 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
โฆ Synopsis
The finite affine planes that admit non-solvable rank 3 collineation groups are completely determined.
๐ SIMILAR VOLUMES
Let r be a rank 3 incidence geometry of points, lines and planes. This paper classifies all finite geometries r whose planes are affine, whose point residues are dual affine and which satisfy Condition 1: any two points of r are incident with at most one line. Such a geometry is necessarily isomorph
We prove that the total space E of an algebraic affine C -bundle ฯ : E โ X on the punctured complex affine plane X := C 2 -{(0, 0)} is Stein if and only if it is not isomorphic to the trivial holomorphic line bundle X ร C . ## 0. Introduction Let ฯ : E โ X be a holomorphic affine C -bundle on the