8 semifield planes of order \(8^ 2\) (Q913241)
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scientific article; zbMATH DE number 4146964
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 8 semifield planes of order \(8^ 2\) |
scientific article; zbMATH DE number 4146964 |
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8 semifield planes of order \(8^ 2\) (English)
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1990
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The authors work out a list of all eight translation planes of order 64 which contain GF(8) in its kernel and have a collineation group of order 128. By a result of \textit{M. Biliatti}, \textit{V. Jha}, the second author and \textit{G. Menichetti} [Geom. Dedicata 29, No.1, 7-43 (1989; Zbl 0673.51003)] they are all semifield planes. To determine isomorphic planes a computer is used.
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finite translation plane
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0.8826014
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0.8630712
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0.8555951
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