The question is about divorce using the word "divorced" (مطلقة) without a pronoun. Does divorce occur merely by saying "divorced" without adding a pronoun like "you" (أنتِ) or "she" (هي), and is it a condition to mention the wife's name when she is absent?

All praise is due to Allah. For a divorce to occur, the pronouncement must be attributed to the wife, either explicitly or implicitly. It is not a condition for the wife to be present, or for her to be addressed verbally, or for her name to be mentioned. So, if he says, "You are divorced," or "She is divorced," or "So-and-so is divorced," and he intends his wife, then the divorce occurs.