Does signing a divorce paper count as divorce?

Ruling on Divorce in Anger

Documenting divorce in a civil, non-Islamic court

Can a divorced woman ask her husband for what she gave him of wealth and what she put in her house?

Can she ask her husband to use a condom to protect herself if he marries another wife?

He divorced her officially and irrevocably, and now he wants to go back to her

Ruling on the wife of one who reviles religion

He does not like children; can he divorce her so that she can marry someone else and have children with him?

Is it permissible to ask Allah for his wife, whom he divorced three times, to marry a man who she does not get on with, so that he can take her back?

Does she have the right to ask for divorce if her husband is having haraam relationships with other women?