We are not divorced but my wife married third time. Is her marriage allowed?

I am my wife's 2nd husband. She got a talaaq from her 1st husband, and about 1 year ago she left me and declared she does not want to come back. I have made a decision which is my own that I am not giving her a divorce for simple reasons because Allah does not like it, and nor do I. Now I heard from someone she is looking for another rishtaa, and I have proof that she still married to me i.e nikaah certificate and wedding photos. And she has told her family and friends that she has got a khullah from me, the truth I did not give her a khullah, because I have no contact from Islamic Shariah council. Because as you know khullah can only be done through them. Now she found some one 3rd husband, but me and my wife are not divorced, is this marriage to her 3rd husband allowed?