At my school, you didn't apply or nominate yourself for Order of Omega. Someone from another GLO (NOT your own) would nominate you for OO. Then the nominees were voted on and inducted. I don't know the induction ceremony, because I was never inducted!!!!
I wanted to be, I was quite active, but no one thought enough of me to nominate me, I guess.
Interesting that they have alum induction. . .how does that work?