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Title: Non-Abelian tensor square and related constructions of p-groups
Authors: Bastos Júnior, Raimundo de Araújo
Melo, E. de
Gonçalves, N.
Nunes, R.
metadata.dc.identifier.orcid: https://orcid.org/0000-0002-5733-519X
Assunto:: P-grupos finitos
Quadrado tensional
Comutatividade fraca
Issue Date: 12-Mar-2020
Publisher: Springer Nature
Citation: BASTOS, R. et al. Non-Abelian tensor square and related constructions of p-groups. Archiv der Mathematik, v. 114, p. 481-490, 2020. Disponível em: https://link.springer.com/article/10.1007/s00013-020-01449-0.
Abstract: Let G be a group. We denote by ν(G) a certain extension of the non-Abelian tensor square [G,Gφ] by G×G. We prove that if G is a finite potent p-group, then [G,Gφ] and the k-th term of the lower central series γk(ν(G)) are potently embedded in ν(G) (Theorem A). Moreover, we show that if G is a potent p-group, then the exponent exp(ν(G)) divides p⋅exp(G) (Theorem B). We also study the weak commutativity construction of powerful p-groups (Theorem C).
metadata.dc.relation.publisherversion: https://link.springer.com/article/10.1007/s00013-020-01449-0
Appears in Collections:Artigos publicados em periódicos e afins

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