Symmetric designs form the \(G_2(q)\) generalized hexagons (Q1601445)
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scientific article; zbMATH DE number 1760690
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetric designs form the \(G_2(q)\) generalized hexagons |
scientific article; zbMATH DE number 1760690 |
Statements
Symmetric designs form the \(G_2(q)\) generalized hexagons (English)
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13 November 2002
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A design with the parameters of the point-hyperplane design on a \(6\)-dimensional \(\text{GF}(q)\)-space and automorphism group isomorphic to the automorphism group of the Chevalley group \(G_2(q)\) is construed. Moreover \(G_2(q)\) acts primitively on the points and blocks of this design and is antiflag transitive.
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null polarity
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classical designs
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simple point-primitive automorphism group
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Chevalley group
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