Divorce during menses and the meaning of the words “tell him to take her back”

He swore on pain of divorce that he would never touch her again

He said to her “I give talaaq talaaq talaaq” as a joke or wanting to know the words of talaaq???

Her husband beats her and does not spend on her, and there is no Muslim judge in her city

Her husband mistreats her and forces her to work, and he refuses to divorce her, and she is in a country where there are no sharee‘ah courts

He did not utter the word of divorce or write it down, but he asked the lawyer to issue the wife a threat of divorce

He said to her “I divorce you” or “You are divorced” with the intention of threatening and scaring her

He made divorce conditional upon something, then he forgot what it was

If he says to his wife, “Divorce [talaaq]” or “You are divorce”

If the spouses disagree as to whether divorce has happened or not, then what counts is the husband’s word, unless the wife can produce proof