What is the ruling of Islamic law regarding a fraudulent divorce issued by the husband to appease another woman, while he denies what happened and refuses to attend for understanding or to see his children, especially since his daughter is suffering psychologically due to his absence?

If a husband writes a divorce paper without intention or uttering the words, then no divorce occurs. The husband's negligence in caring for his family is a mistake and forbidden. The wife has the right to seek divorce after six months of his absence without excuse. The husband is permitted to marry more than one wife if he acts justly; otherwise, he is not. We advise the questioner to strive to mend her relationship with her husband and to involve two arbitrators from their families to bring their viewpoints closer.