Sobre uma Construção Relacionada ao Quadrado Tensional não-Abeliano de um Grupo
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| 1. Verfasser: | |
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| Publikationsdatum: | 2011 |
| Format: | Master thesis |
| Sprache: | por |
| Quelle: | Repositório Institucional da UFG |
| Download full: | http://repositorio.bc.ufg.br/tede/handle/tde/1943 |
Zusammenfassung: | Let 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. |