She didn't cheat on you. You yourself say that you "called it a break up". I suspect that she didnt want to be with you anymore so she rebounded. Her still staying in contact with you was probably because she was confused and didnt know how to not be in an abusive relationship where someone is hitting her. To me it seems like you have ruined her self esteem because I dont know who would stay with someone who embaressed them in front of friends and family, called her a ***** and a slut or made her feel bad for being with someone else when you WERE BROKEN UP and you PHYSICALLY ABUSED HER. She tried to give you a chance to see if you guys could work things out- well to see if you would get couciling for your anger problems and instead of being humble and happy that she was willing to see you through your problems you berate her talk crap about her online, to her family and friends call her names and whine about it while leaving out a whole lot of info? I hope she runs far away from you.