The police watchdog said Sir Norman Bettison would have a "case to answer" for gross misconduct following a damning report into the Hillsborough disaster where 96 Liverpool fans died.
But he resigned as Chief Constable of West Yorkshire police, meaning they cannot take action.
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Greater Manchester Police said "inquiries are ongoing to fully understand the circumstances of the incident."
Business Secretary Greg Clark said talks with Peugeot's boss over a potential Vauxhall takeover were both "constructive and reassuring".