What is the ruling of Islamic law regarding a husband preventing his wife from going out for recreation with her friends in public places? Is the husband justified in doing so? And what is the legitimate Islamic way of dealing with the wife in such a case?

A wife must obey her husband, and it is not permissible for her to leave the house except with his permission and out of necessity, because the default is that a woman's place in her home is better. Explain to her the ruling of the Sharia and the greatness of her husband's right over her, and the virtue of her remaining in her home, and encourage her to utilize her free time in beneficial matters.