Julian Scheiber struck as Manchester City's dismal Champions League campaign ended with a 1-0 defeat in Dortmund.
The Premier League champions already knew they could not progress from Group D but had been looking to secure a consolation place in the Europa League.
With Ajax losing at Real Madrid that possibility was open to them, but it proved beyond Roberto Mancini's men as Schieber hit the only goal of a subdued affair at the Westfalenstadion just before the hour.
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