How the native lose their land in the USA?

Even high officials saw nothing wrong in depriving the native peoples of their land. This is seen by an episode in Georgia, a state in the USA. Officials had argued that the Cherokee tribe was governed by state laws, but could not enjoy the rights of citizens. (This was despite the fact that, of all the native peoples, the Cherokees were the ones who had made the most effort to learn English and to understand the American way of life; even so they were not allowed the rights of citizens.)