Matrix spread sets of \(p\)-primitive semifield planes (Q1363344)
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scientific article; zbMATH DE number 1046337
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Matrix spread sets of \(p\)-primitive semifield planes |
scientific article; zbMATH DE number 1046337 |
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Matrix spread sets of \(p\)-primitive semifield planes (English)
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7 April 1998
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Finite \(p\)-primitive semifield planes are constructed and classified for \(p\in\{3,5,7,11\}\). All these planes are of order \(p^4\) with kernel GF\((q^2)\). The task is carried out by finding all suitable spreads with a computer, and then checking for isomorphic ones. Well-known classes of semifields, such as Hughes-Kleinfeld and Dickson, are identified.
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\(p\)-primitive semifield planes
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0.87848276
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0.8727024
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0.87248576
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0.86356395
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0.8549899
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