Overgroups of classical groups over commutative rings in linear group. (Q862709)

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scientific article; zbMATH DE number 5118296
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Overgroups of classical groups over commutative rings in linear group.
scientific article; zbMATH DE number 5118296

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    Overgroups of classical groups over commutative rings in linear group. (English)
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    24 January 2007
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    For any commutative ring \(R\) with involution and 1, unitary groups \(\text{U}_{2n}R\subset\text{GL}_{2n}R\) (including symplectic, ordinary orthogonal, and standard unitary groups) are considered. All overgroups of \(\text{U}_{2n}R \) are described when \(n\geq 5\). The classification of normal subgroups of \(\text{U}_{2n}R,\) obtained previously by You-Vaserstein, is used.
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    overgroups of classical groups
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    unitary groups
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    linear groups
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