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Self-similarity of some soluble relatively free groups |
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| Authors: | Berlatto Adilson A. Dantas Alex C. Santos Tulio M. G. |
| Affiliation: | 1.Instituto de Ciências Exatas e da Terra-ICET/CUA, Universidade Federal de Mato Grosso, Pontal do Araguaia, MT, 78698-000, Brazil ;2.Departamento de Matemática, Universidade de Brasília, Brasília, DF, 70910-900, Brazil ;3.Instituto Federal Goiano, Campos Belos, GO, 73840-000, Brazil ; |
| Abstract: | In this paper, we prove that a free nilpotent group of finite rank is transitive self-similar. In contrast, we prove that a free metabelian group of rank (r ge 2) is not transitive self-similar. |
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