@ssavvy default way is to go to Settings > BuddyPress > Settings – Groups > Group Creation and make sure the Setting is disabled. Then you could set up a Blog Post or Forum Post or Contact form where users who want to create a group can contact you. You set it up for them and make them admins and remove yourself from admin if you prefer.
Or, you could limit Groups per user with http://buddydev.com/plugins/limit-groups-per-user/
@mercime — This topic is a little old, so I wanted to double check if this is still accurate. There is no other way to approve/deny groups once they are added?
Hello @joeyaberle,
Me too asked that thing couple of days before, one of moderator told it is not possible yet but they gave me link to tutorial where we can make a form to request admin for group creation.
http://bp-tricks.com/coding/manage-group-creation-by-creating-a-group-request-form/