I'm new to developing Facebook applications, and I'm looking for a way to create and manage a group using the Facebook API. There is a call to get and get list, but I have not found a way to manage groups.
At the time of writing, there is no Facebook API method for creating groups. However, methods are available to obtain information about specific groups.
For more information, see the API docs,
http://wiki.developers.facebook.com/index.php/API
It looks like the API was released: https://developers.facebook.com/docs/reference/api/app-game-groups/
Facebook says developers will also be able to create groups and manage group memberships via the API "in the near future."
(October 11, 2010) http://www.insidefacebook.com/2010/10/11/groups-api-details-apotential/