I read this over on the facebook for android facebook page and thought it may be helpful. i havent had the chance to test it out yet but maybe someone else can...
1) To receive push notifications it appears you must get an email to an address that is associated with your phone. I turned my email notifications back on, which are associated with my gmail account, and I am receiving push notifications. As soon as I turned my email notifications back on, I began getting push notices again. This is the same way the app for Blackberry works....(or at least used to)
2) To stop push notifications it seems that you need to either turn off your email notifications from FB or have them associated with an email address that is not associated with your phone.