Overgroups in GL(nr,F) of certain subgroups of SL(n,K). I (Q1122660)
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scientific article; zbMATH DE number 4107097
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Overgroups in GL(nr,F) of certain subgroups of SL(n,K). I |
scientific article; zbMATH DE number 4107097 |
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Overgroups in GL(nr,F) of certain subgroups of SL(n,K). I (English)
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1989
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Let K and F be division rings with \(K\supseteq F\) and left \(\dim_ FK=r\) finite. The author determines all overgroups of SL(n,K) in GL(nr,F). If K is commutative and n is even he also finds all overgroups of Sp(n,K) in GL(nr,F). The author promises to determine all overgroups of SU(n,K,f) and \(\Omega\) (n,K,Q) in GL(nr,F) in a later paper.
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division rings
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overgroups of SL(n,K)
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0.9154169
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0.91511726
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0.90108246
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0.89975035
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0.8778776
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