Mann made two free throws to give Georgia a 72-71 lead. Summers answered with a jumper with 45 seconds remaining to give the lead back to the Rebels.
Following a timeout, Gaines missed a 3-pointer, Morris missed a follow shot and Mann grabbed the rebound and scored on a layup to give Georgia the lead.
Henderson missed a jumper and fouled Marcus Thornton, who made 1 of 2 free throws for a 75-73 lead. Summers missed a last-second jumper following an Ole Miss timeout with 2.6 seconds remaining.
Georgia struggled with fouls in the first half. Thornton played only 5 minutes and Mann was limited to 7 minutes after each picked up two early fouls. Two more Georgia starters, Donte' Williams and Gaines, finished the half with two fouls.
Frazier, who took over for Mann, hit two 3-pointers and led Georgia with eight points in the half.
Ole Miss made only 1 of 11 3-pointers in the half. Henderson missed 6 of his 7 3s, but Summers' scoring filled the void as the Rebels led 38-36 at halftime.
Fouls became a bigger problem for Ole Miss in the second half. Coleby fouled out with 8 minutes remaining, and Saiz drew his fifth with 3:38 remaining.
Georgia coach Mark Fox was called for a technical foul when he disagreed with a foul called on Mann with 6:35 remaining. Fox continued to argue and pushed away assistant coach Jonas Hayes when Hayes tried to intervene.