For any connected linear algebraic group G over a number field, strong approximation with the Brauer-Manin obstruction holds for the classifying stack BG off any nonempty finite set of places.
Strong approximation with Brauer-Manin obstruction for groupic varieties
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Approximation theorems for classifying stacks over number fields
For any connected linear algebraic group G over a number field, strong approximation with the Brauer-Manin obstruction holds for the classifying stack BG off any nonempty finite set of places.