Facebook friend matches

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I am already using Facebook as a means of saving my user info, and many of my Facebook friends are getting the game. I think playing matches with friends would be great. I have two ideas for this:
1) turn-by-turn game where you make a move, and are notified when your friend takes their turn. Same for when they make theirs.
2) searching for friends on your Facebook friends list who have the game and are logged in, and initiate a live match.

Not sure how possible this is but my friends and I think it would be fun.