Öztunç S.Mutlu A.Bildik N.2025-04-102025-04-102013http://hdl.handle.net/20.500.14701/49922We consider an additive group structure in digital images and introduce the commutator in digital images. Then we calculate the hypercrossed complex pairings which generates a normal subgroup in dimension 2 and in dimension 3 by using 8-adjacency and 26-adjacency. © 2013 Simge Öztunç et al.Article10.1155/2013/675373