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Jordan property for non-linear algebraic groups and projective varieties
A century ago, Camille Jordan proved that the complex general linear group
has the Jordan property: there is a Jordan constant such that
every finite subgroup has an abelian subgroup of index
. We show that every connected algebraic group (which is
not necessarily linear) has the Jordan property with the Jordan constant
depending only on , and that the full automorphism group of
every projective variety has the Jordan propertyComment: American Journal of Mathematics (to appear); minor change
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