Direct Products of Affine Partial Linear Spaces
โ Scribed by N.L. Johnson; T.G. Ostrom
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 917 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
โฆ Synopsis
Direct products of affine partial linear spaces are defined and studied. Analysis of derivable and subplane covered nets as direct product nets provides characterizations of these nets. Translation planes admitting direct product nets and construction of maximal partial spreads are also considered.
๐ SIMILAR VOLUMES
Examples 1.1. (Desarguesian affine spaces). Here S is an affine space AG n (q), where n 2 and q n = p d ; we have G 0 1L n (q), and one of the following holds:
A number of writers have defined a concept of angle in a normed linear space or metric space by means of the law of cosines, and have studied the properties of these angles obtaining, in some cases, characterizations of real inner product spaces. (For a summary of earlier results see MARTIN and VAL