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Harvey Unga, a former Cougar, was released from the school after a violation of the Honor Code.
Many people have decided that independence is a perfect fit for the Cougars because of BYU's religious background and nature. For example, the Cougars do not compete on Sundays, and they have an Honor Code that all students must obey while attending the university.
As an Independent, the no-Sunday play rule hardly affects the Cougars. In a conference, however, having rules like that can greatly affect scheduling and placement in polls and other items.
As Notre Dame decided years ago, independence is tough but can be an ideal fit for select programs. I think that BYU is one of those schools. Unless the Cougars are invited to the Big 12 or a similar conference, they should stay independent.