Argentina has no rational claim over the island. They voted to remain British and even if they choose not to be they would independent not ruled by Argentina. I have heard people say that British control of the Falkland islands is imperialism. Tell me if no one lived there before we colonised it and the people living there want to remain under British protection how is that imperialism? Why does it being closer to Argentina matter? Should the US give up Hawaii and Alaska? No of course not that's stupid idea. If there was any imperialism involved it was when Argentina invaded the islands against the people who live there's will and claimed it for them selves. That is practically the definition of imperialism.