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As a survey-type article, the paper reviews some results on a regular covering space in digital covering theory. The recent paper (see also  ) established the notion of regular covering space in digital covering theory and studied its various properties. Besides, the papers [14, 16] developed a discrete Deck's transformation group of a digital covering. In this paper we study further their properties. By using these properties, we can classify digital covering spaces. Finally, the paperdoi:10.5831/hmj.2009.31.3.279 fatcat:bzgpjsk5g5hofjvnevxbzvcwwe