Mutlu A.2024-07-222024-07-2220041300686Xhttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/19980Using a free simplicial group with given a CW-basis, we give an alternative description of the top group of the free square complex and 2-crossed complex of groups on 2-construction data in terms of tensors and coproducts of crossed module of groups. Therefore the functors are given between these categorical constructions.EnglishAll Open Access; Gold Open AccessAlgebraAlgorithmsData reductionMapsTopology2-crossed complexFree crossed squareFree simplicial groupSquare complexTensorsArticle10.3390/mca9030417