hmm...
yes, as mentioned co-ed fraternities do exist and the process for membership would be the same for all people interested. the only way i could think of an all-male organization letting in females (or vice versa) would be if they wanted to become co-ed. also, there are single-gender fraternities that have 'friends' of the organization that are from the opposite gender, but they are not members. then, as far as recruiting, there have been times when a member of the opposite sex passionately helps to recruit for an organization and those people could be honorary members, but wouldn't go thru initiation to become a member.
if the GLO is wanting to become co-ed, fine... but they would have to seriously state their case. is this a national GLO? then their nationals would have to be involved in this. or simply local, with no other chapters? then there are so many more questions about the intention of this, especially since there isn't a national backbone there for support and guidance.
if they don't want to become co-ed and simply start a sorority, then they shouldn't try to put this in their own hands. the interest needs to come from the people themselves and not a third party.
i would check with your campus student organization office for the appropriate process and also check other campuses that do and don't have a greek system in place.
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