Divisible designs associated with translation planes admitting a 2-transitive collineation group on the points at infinity (Q1972870)
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scientific article; zbMATH DE number 1436175
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Divisible designs associated with translation planes admitting a 2-transitive collineation group on the points at infinity |
scientific article; zbMATH DE number 1436175 |
Statements
Divisible designs associated with translation planes admitting a 2-transitive collineation group on the points at infinity (English)
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7 June 2000
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Three classes of divisible designs are constructed with the authomorphism groups \(\text{GL}(2,q^n)\), \(\text{SL}(2,q^n)\) and the Suzuki group \(S(q)\) respectively. In all cases the orbits on the sets of points and blocks are determined. The first two classes come up from Desarguesian planes and the third one from Lüneburg planes.
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divisible designs
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\(R\)-permutation groups
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Desarguesian planes
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Lüneburg planes
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