Flash + Facebook

Hi friends.
Lately I’ve been studying (or at least I’ve been trying to) the facebook api for flash.
But I can not find good material or code examples.
I’ve been reading this http://facebook-actionscript-api.googlecode.com/svn/release/current/docs/index.html but there I can’t find what I need.

I just need to make possible for new users to loggin into my game (it’s a MMO - sfs 2 + as3) with their facebook accont. Anyway the problem is that with this documentation I can’t find not even how to get the user name properly.

I’m completely lost and don’t know what to do. I hope you guys can help me showing me more material or maybe some NICE examples.