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On Configurations in Translation Planes of Positive Characteristic

โœ Scribed by M. Funk


Book ID
112946589
Publisher
Vandenhoeck & Ruprecht
Year
1986
Tongue
German
Weight
337 KB
Volume
56
Category
Article
ISSN
0025-5858

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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