I am having a couple of facebook groups and the problem is a lot of offensive content might have been posted to due to curated content and maybe bad reposting, now is it fine if I add the group to a facebook page and remove myself as the admin of the group to cover my identy. I do still need to remain as admin to maintain ownership of the group.
I’m not sure will you be able to control posts and comments in the group if you remove the profile and leave only Facebook page as administrator.
I’d rather go with other solution. Get a fake FB account and set it as group admin. Remove your real profile and you have your identity hidden.