Iceland remained under Norwegian kingship until 1380; then Norway became part of the Kalmar Union with Sweden and Greenland.
The Kalmar Union (Danish, Norwegian, and Swedish: Kalmarunionen; Latin: Unio Calmariensis) was a personal union in Scandinavia, agreed at Kalmar in Sweden, that from 1397 to 1523 joined under a single monarch the three kingdoms of Denmark, Sweden (then including most of present-day Finland), and Norway, together with Norway's overseas dependencies (then including Iceland, Greenland, the Faroe Islands, and the Northern Isles of Orkney and Shetland). 
