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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