SFA chief executive Stewart Regan says they take full responsibility for child protection failings.
Five More Held Over Scottish Cup Final Disorder
Five more men have been arrested in connection with the disorder which marred the end of the Scottish Cup final, bringing the total to 70.
The match at Hampden Park on May 21 was disrupted when fans invaded the pitch after Hibernian's 3-2 win over Rangers, which marked the Edinburgh side's first Scottish Cup win in more than a century.
Police said the men arrested are aged 17, 18, 23, 36 and 46, and a report will be submitted to the procurator fiscal.
Hibernian supporters flooded the pitch after their side's dramatic last-minute win, with fans of Rangers also making it past stewards and onto the turf before mounted officers restored order.
An independent report commissioned by the Scottish Football Association said the Scottish Government should consider making it a criminal offence to run onto a football pitch.
The police investigation into the trouble is continuing and officers are appealing to anyone with information to either contact the inquiry team on 0141 532 5457, email email@example.com or call Crimestoppers on 0800 555 111.
The 55-year-old died at the scene of the incident in Dryden Street at about 9.50am on Monday.
She called on both sides of the Brexit divide to treat each other with respect and stop accusations of "racism''.
Police found the body of Sharon Greenop at a house in Aldersyde Avenue, Troon, South Ayrshire, on November 10.
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