I have just rolled out the first part of group admin and moderation.
If you are a group administrator (the creator of the group will be the first admin), you will see a new admin bar:
In this bar, there is a sub-menu to assign privileges to members of this group.
If you are a group moderator, you should see a few new options in the post menu:
There will be more features on the way. This is just the beginning of adding these features to ZapRead!