Jordan Property for Non-linear Algebraic Groups and Projective Varieties
نویسندگان
چکیده
A century ago, Camille Jordan proved that the complex general linear group GLn(C) has the Jordan property: there is a Jordan constant Cn such that every finite subgroup H ≤ GLn(C) has an abelian subgroup H1 of index [H : H1] ≤ Cn. We show that every connected algebraic group G (which is not necessarily linear) has the Jordan property with the Jordan constant depending only on dimG, and that the full automorphism group Aut(X) of every projective variety X has the Jordan property.
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