Incidence structures of type $(p, n)$

František Machala

Special incidence structures of type $(p, n)$

František Machala (2000)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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Universal transitivity of simple and 2-simple prehomogeneous vector spaces

T. Kimura, S. Kasai, H. Hosokawa (1988)

Annales de l'institut Fourier

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We denote by $k$ a field of characteristic zero satisfying $H^{1} (k, Aut (S L_{2})) \neq 0$ . Let $G$ be a connected $k$ -split linear algebraic group acting on $X = {Aff}^{n}$ rationally by $ρ$ with a Zariski-dense $G$ -orbit $Y$ . A prehomogeneous vector space $(G, ρ$ ,X) is called “universally transitive” if the set of $k$ -rational points $Y (k)$ is a single $ρ$ $(G) (k)$ -orbit for all such $k$ . Such prehomogeneous vector spaces are classified by J. Igusa when $ρ$ is irreducible. We classify them when $G$ is reductive and its commutator subgroup $[G, G]$ is either...

Special incidence structures of type $(p, n)$ . II.

František Machala (2001)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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Displaying similar documents to “Incidence structures of type ( p , n ) ”

Special incidence structures of type ( p , n )

Universal transitivity of simple and 2-simple prehomogeneous vector spaces

Special incidence structures of type ( p , n ) . II.

Displaying similar documents to “Incidence structures of type $(p, n)$ ”

Special incidence structures of type $(p, n)$

Special incidence structures of type $(p, n)$ . II.