As a Nordic citizen you are free to reside, study and work in Denmark without a permit.
Citizens of Finland, Iceland, Norway and Sweden are free to reside, study and work in Denmark. Visas, residence permits and work permit are not required. You can even enter Denmark without a passport. However, you must be able to identify yourself if required – for example, if you are staying in a hotel or at a campsite. Your driver’s license or credit card is sufficient.