Are the Inuit in Greenland an indigenous people under international law? And what are the consequences of that categorization? This article focuses on the right to self-determination as the Inuit are recognized as an indigenous people; however, the Greenlanders have the explicit right to independence. The article concludes that the Self-Government Act can be regarded as the pitfall for the Inuit as an indigenous people. So far, nobody has fallen in; however, independence may mean an end to the status as an indigenous people. While the law might be considered relatively clear on this, the self-identification as an indigenous people will most likely not stop overnight.