Using counting arguments we extend previous results concerning the coloring of lines in a finite projective plane of order n whose points are n-colored. Suppose the points of the finite projective plane PG(2, n) are colored with n colors. Kabell [2] showed that at least one line must contain points
A note on colorings of finite planes
β Scribed by Jerald A. Kabell
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 88 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
By counting arguments we show that certain partitions of the points of finitle projective and aftine planes are not possible.
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