Steps to follow:
1) Get the lattest code package from this link http://code.google.com/p/facebook-actionscript-api/
2) Code to follow
import com.facebook.graph.*;
// uid is the variable coming from the page parameters.
var uid:String ;
function getUserName():void
{
Facebook.api("/"+uid, callBackUserInfo);
function callBackUserInfo(user:Object, fault:Object):void
{
trace(user.name);
}
}