Quasi-normal subgroups of algebraic groups (Q1072649)
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scientific article; zbMATH DE number 3941794
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-normal subgroups of algebraic groups |
scientific article; zbMATH DE number 3941794 |
Statements
Quasi-normal subgroups of algebraic groups (English)
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1985
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Let G be a connected linear algebraic group over an algebraically closed field. A subgroup H of G is said to be algebraically quasi-normal in G if it is Zariski-closed and the closure of AH and HA coincide, for any closed subgroup A of G. Clearly every closed normal subgroup H of G is algebraically quasi-normal. The author proves the converse for fields of characteristic zero and he also offers a complete discussion in the case of positive characteristic.
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algebraically quasi-normal subgroup
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connected linear algebraic group
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closed normal subgroup
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