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Let us pull back the original extension along any homomorphism X -> Q. Does the pullback extension enjoy the same Gamma_{c+1}-flatness property?\n  To answer this question we consider not only quotients by the lower central series, but any localization functor in the category of groups. 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We say that the extension is Gamma_{c+1}-flat. Let us pull back the original extension along any homomorphism X -> Q. Does the pullback extension enjoy the same Gamma_{c+1}-flatness property?\n  To answer this question we consider not only quotients by the lower central series, but any localization functor in the category of groups. 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