The group, two men and one woman, targetted branches of the Expert, Lefdal and Elkjøp chains across southern Norway, beginning their operation almost as soon as they arrived in the country four months ago and applied for asylum.
The group were arrested at Elkjøp in Molde this week, after an analysis of CCTV footage from electronics stores across the country predicted where they were most likely to strike next. The gang had kept moving rapidly between Norwegian police districts, making it more difficult to apprehend them.
A fourth male member was arrested in Oslo in July.
Norwegian police estimate that about one in a hundred asylum seekers are connected with organized crime. A group from Belarus was also active in the country over the summer.