Mehrfach transitive Operationen algebraischer Gruppen. (German) Zbl 0557.14028
The purpose of this article is to extend the classification of doubly transitive algebraic transformation groups to algebraically closed fields of arbitrary characteristic, the result in characteristic zero being known since 1955 and due to J. Tits [Mem. Cl. Sci., Collect. Octavo, Acad. R. Belg. 29, No.3 (1955; Zbl 0067.123)]. Except for an example based on the six-dimensional irreducible representation of the group \(G_ 2\) in characteristic two the classification turns out to be the same as in characteristic zero.
Reviewer: P.Slodowy
MSC:
| 14L30 | Group actions on varieties or schemes (quotients) |
| 14M17 | Homogeneous spaces and generalizations |
Keywords:
group actions; homogeneous spaces; classification of doubly transitive algebraic transformation; groups; classification of doubly transitive algebraic transformation groupsCitations:
Zbl 0067.123References:
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| [4] | A.Grothendieck et J.Dieudonné, Eléments de Géométrie Algébrique. I: Grundlehren166, Heidelberg (1971). III: Publ. Math. IHES11 (1961),17 (1963). |
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