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Line 15: Suppose that ''F'' is an endomorphism of an algebraic group ''G''. The '''Lang map''' is the map from ''G'' to ''G'' taking ''g'' to ''g''<sup>−1</sup>''F''(''g''). The '''Lang–Steinberg theorem''' states<ref>{{harvnb\|Steinberg\|1968\|loc=Theorem 10.1}}</ref> that if ''F'' is surjective and has a finite number of fixed points, and ''G'' is a connected affine algebraic group over an algebraically closed field, then the Lang map is surjective. == Proof of Lang's theorem ==

Lang's theorem: Difference between revisions