Knop F (1983)
Publication Language: German
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 1983
Publisher: Springer Verlag (Germany)
Book Volume: 41
Pages Range: 438-446
Journal Issue: 5
DOI: 10.1007/BF01207571
All d-fold (d>1) transitive actions of algebraic groups defined over an algebraic closed field k are classified. The result: (G acts on X)
1. X is the n-dimensional projective space and G=PGL(n+1,k). This action is always doubly transitive and triply transitive for n=1.
2. X is the n-dimensional affine space and G=S L T, where S is a subgroup of the group of scalars, T is the group of translations, and L is either SL_n(k), Sp_n(k) (n even) or G_2 (n=6, char k=2) acting linearly. All these actions are doubly transitive.
This paper was my Diploma thesis in Erlangen.
APA:
Knop, F. (1983). Mehrfach transitive Operationen algebraischer Gruppen. Archiv der Mathematik, 41(5), 438-446. https://dx.doi.org/10.1007/BF01207571
MLA:
Knop, Friedrich. "Mehrfach transitive Operationen algebraischer Gruppen." Archiv der Mathematik 41.5 (1983): 438-446.
BibTeX: Download