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Title: On some series of a group related to the non-abelian tensor square of groups
Authors: Bastos Júnior, Raimundo de Araújo
Oliveira, Ricardo Nunes de
Monetta, C.
Rocco, N. R.
Assunto:: Quadrado tensional
P-grupos finitos
Issue Date: 2022
Publisher: Elsevier
Citation: BASTOS, R.; OLIVEIRA, R. de; MONETTA, C. ; ROCCO, N. R. On some series of a group related to the non-abelian tensor square of groups, Journal of Algebra, v. 598, p. 236-253, 2022. DOI: https://doi.org/10.1016/j.jalgebra.2022.02.001. Disponível em: https://www.sciencedirect.com/science/article/pii/S0021869322000515. Acesso em: 7 jun. 2022.
Abstract: Let G be a group. We denote by ν(G) a certain extension of the non-abelian tensor square G⊗G by G×G. In this paper we prove that the derived subgroup ν(G)′ is a central product of three normal subgroups of ν(G), all isomorphic to the non-abelian tensor square G⊗G. As a consequence, we describe the structure of each term of the derived and lower central series of the group ν(G).
Licença:: © 2022 Elsevier Inc. All rights reserved.
DOI: https://doi.org/10.1016/j.jalgebra.2022.02.001
metadata.dc.relation.publisherversion: https://www.sciencedirect.com/science/article/pii/S0021869322000515?via%3Dihub
Appears in Collections:Artigos publicados em periódicos e afins

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