Lang's theorem: Difference between revisions

Revision as of 15:37, 8 March 2014

Revision as of 15:56, 8 March 2014

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{{mergefrom|Lang–Steinberg theorem}}

In algebraic geometry, '''Lang's theorem''', introduced by [[Serge Lang]], states: if ''G'' is a connected smooth algebraic group over a finite field <math>\mathbf{F}_q</math>, then

:<math>H^1(\mathbf{F}_q, G) = H_{\text{ét}}^1(\operatorname{Spec}\mathbf{F}_q, G)</math> &nbsp;