Linear spaces with many small lines
β Scribed by C.A. Rodger
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 922 KB
- Volume
- 129
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper some of the work in linear spaces in which most of the lines have few points is surveyed. This includes existence results, blocking sets and embeddings. Also, it is shown that any linear space of order c can be embedded in a linear space of order about 13v in which there are no lines of size 2.
π SIMILAR VOLUMES
## Abstract It was remarked by P. ErdΕs, J. C. Fowler, V. T. SΓ³s, and R. M. Wilson, (J Combin Theory Ser A 38, 1985, 131β142), that a nonβdegenerate finite linear space on __v__ points has the following property. For every point __P__ the number of lines not passing through __P__ is at least $\lflo