Subgroups isomorphic to \(G_2(L)\) in orthogonal groups (Q1271010)
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scientific article; zbMATH DE number 1218707
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subgroups isomorphic to \(G_2(L)\) in orthogonal groups |
scientific article; zbMATH DE number 1218707 |
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Subgroups isomorphic to \(G_2(L)\) in orthogonal groups (English)
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20 June 1999
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The author describes embeddings of groups \(G_2(L)\) (\(L\) a field) in orthogonal groups such that the long root elements act as Siegel transvections. Under some hypotheses, the author proves that such an embedding is induced by a semilinear mapping.
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embeddings of groups
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orthogonal groups
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long root elements
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Siegel transvections
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semilinear mappings
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