Maximality of \(PSp_ 6(q)\) acting on three-dimensional completely isotropic subspaces (Q1078331)
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scientific article; zbMATH DE number 3959775
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximality of \(PSp_ 6(q)\) acting on three-dimensional completely isotropic subspaces |
scientific article; zbMATH DE number 3959775 |
Statements
Maximality of \(PSp_ 6(q)\) acting on three-dimensional completely isotropic subspaces (English)
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1984
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Let \((PSp_ 6(q),N_ 3)\) be the substitution group corresponding to the natural action of \(PSp_ 6(q)\), \(q>3\), \(q\neq 2^ h\) on a set \(N_ 3\) of three-dimensional completely isotropic subspaces in \({\mathbb{F}}^ 6_ q\). Then any substitution group on \(N_ 3\) that contains \(PSp_ 6(q)\) will either be contained in \((P\Gamma Sp_ 6(q),N_ 3)\), or it will contain the alternating group \(A(N_ 3)\).
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maximal parabolic subgroups
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substitution group
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natural action
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completely isotropic subspaces
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0.7990293502807617
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0.7980373501777649
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0.7762144207954407
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