Backstory: Facebook is putting a lot of emphasis on their groups. As a brand/company, it's a great way to build your community but you have no metrics or way to track how well it's working or how to use that data to drive revenue.
The Idea: An analytics platform for facebook groups.
Deep Dive: You would build a dashboard for users to sync their facebook group account and you would use the facebook Group API to tap into the number of posts, top posters, most active, etc.
Validation: At this marketing conference, everyone was complaining about how difficult it is to get any useful data from facebook.
Monetization: You could charge a monthly fee for this service.