STATE COLLEGE -- Penn State's board of trustees says it will appoint a special committee to examine the "circumstances" that led to a child sex-abuse scandal and possible cover-up involving a former assistant to Hall of Fame coach Joe Paterno.

The furor over the indictments of former defensive coordinator Jerry Sandusky and two university officials is eroding support among board members for Paterno, college football's winningest coach, to stay in his job.

In a statement Tuesday night, the Penn State board said it was "outraged by the horrifying details" of the Sandusky case. The committee will be appointed at the board's regular meeting Friday, and will examine what failures occurred and who is responsible.

The board also promised those responsible would be held "fully accountable."

"We are committed to restoring public trust in the university," the board statement concluded.

Meanwhile, at least a thousand students descended on the administration building about 11 p.m., EDT, chanting "Joe Paterno!" over and over, along with Penn State cheers. Many held up their smartphones to take photos or simply light up the night. A few young men climbed flag poles.

About 10 police officers stood on the steps of the building, guarding it.