We prove that the group of autoprojectivities of a simple algebraic group G over the algebraic closure of a finite field acts in a natural way on the building Delta(G) canonically associated to G and that for every autoprojectivity phi of G there exists a unique automorphism alpha of G acting on Delta(G) in the same way as phi.

Autoprojectivities and automorphisms of certain algebraic groups

COSTANTINI, MAURO
1992

Abstract

We prove that the group of autoprojectivities of a simple algebraic group G over the algebraic closure of a finite field acts in a natural way on the building Delta(G) canonically associated to G and that for every autoprojectivity phi of G there exists a unique automorphism alpha of G acting on Delta(G) in the same way as phi.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2535029
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