2014-07-292011-10-262011-07-01ANDRADE, Agenor Freitas de. On a Construction Related to the non-Abelian Tensor Square of a Group. 2011. 107 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2011.http://repositorio.bc.ufg.br/tede/handle/tde/1943Let G and Gj be isomorphic groups. We study the group V (G) which is an extension of the non-abelian tensor square of a group G, G G. Looking for V (G) as an operator in the class of groups, we observe that this operator preserves some properties of the group G such as finiteness, nilpotency and solubility. For a p-group finite G we find an upper bound for the order of G G. Finally, we verified computationally, for some groups, and that the results and also the bounds for the orders of the groups shown here are actually respected.application/pdfAcesso AbertoSolubilidadeNilpotênciaComutadorProduto livreProduto tensorialQuadrado tensorialGAPSolvabilityNilpotencyCommutatorFree productTensor productTensor squareGAP1. Matemática-Álgebra; 2. Grupos Livres; 3. Produtos Livres; 4. Produto Tensorial não-AbelianoCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::ALGEBRADissertação