Freeness Conditions of Tensors and Coproducts of Groups

Ali Mutlu

doi:10.3390/mca9030417

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Article

1 December 2004

Freeness Conditions of Tensors and Coproducts of Groups

Department of Mathematics, Faculty of Science and Arts, University of Celal Bayar, Muradiye Campus 45035 Manisa, Turkey

Math. Comput. Appl.2004, 9(3), 417-426;https://doi.org/10.3390/mca9030417

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Abstract

Using a free simphicial 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.

Keywords:

Free crossed square; square complex; 2-crossed complex; free simplicial gioup

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