On Configurations in Translation Planes of Positive Characteristic
โ Scribed by M. Funk
- Book ID
- 112946589
- Publisher
- Vandenhoeck & Ruprecht
- Year
- 1986
- Tongue
- German
- Weight
- 337 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0025-5858
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
It is shown that every red blue coloring of the plane, without two blue points distance 1 apart, must have a red translate of every three-point configuration. A seven-point configuration S and a red blue coloring are exhibited, which avoids both distance one in blue and translates of S in red.
Let F be a field of order q. It is known that an orthogonal array of the same order q has rank n over F if and only if it is represented as a cone cut by hyperplanes in n-dimensional space over F. Here we show that translation planes have a cone representation in (n + 1)-dimensional space over F, wh