In Russia the right of the father and the mother are equal. And if a woman going on holiday in a country where the visa is not required, the woman can not ask the child's father. If a woman is going on holiday with the child to the country of the Schengen visa in the United States, Australia, even for short term needs permission of the father of the child, which must be certified by a notary public. And the same situation exists, if a woman with a child go to another country to live constantly. If a father refuses to give consent for the child's departure abroad, the matter is settled in court. The judge will give the child in the family, where the conditions for the child will be better. If you present evidence to the Court your good financial condition, evidence of reliability, the Court, coupled with the fact that the child is more tied to the mother, would rule in your favor. If the child is more than 14 years, the Court may take into account the views of the child. There are many women without children. You can select this option if you do not want to deal with the Court or do not have the opportunity to present evidence in court about your finances and reliability.