The American businessman has acquired another 17 shares in the north London club, which has taken his stake up to 29.9 percent.
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He is now just a whisker away from the 30 per cent mark which would compel him to make a formal offer for the rest of the club's shares.
Last week, the Denver-based sports magnate purchased another 25 shares in the Gunners at a cost of £212,000.
Reports claim that Kroenke is expected to go head-to-head with Alisher Usmanov - the club's second largest investor - in a takeover battle next year.
Source: DSG