The Vikings established the Kingdom of the Isles throughout the Hebrides, including Barra. Following Norwegian unification, the Kingdom of the Isles became a crown dependency of the Norwegian king; to the Norwegians, it was "Suðreyjar" (meaning "southern isles"). Malcolm III of Scotland acknowledged in writing that they were not Scottish, and King Edgar quitclaimed any residual doubts. In the north of Barra, from this period survived a gravestone, on which a Celtic cross is present on one side, and runic inscriptions on the other.