Non-Abelian tensor square and related constructions of p-groups

Bastos Júnior, Raimundo de Araújo; Melo, E. de; Gonçalves, N.; Nunes, R.

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Campo DC	Valor	Idioma
dc.contributor.author	Bastos Júnior, Raimundo de Araújo	-
dc.contributor.author	Melo, E. de	-
dc.contributor.author	Gonçalves, N.	-
dc.contributor.author	Nunes, R.	-
dc.date.accessioned	2020-10-20T13:55:29Z	-
dc.date.available	2020-10-20T13:55:29Z	-
dc.date.issued	2020-03-12	-
dc.identifier.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.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/39561	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Springer Nature	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Non-Abelian tensor square and related constructions of p-groups	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	P-grupos finitos	pt_BR
dc.subject.keyword	Quadrado tensional	pt_BR
dc.subject.keyword	Comutatividade fraca	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s00013-020-01449-0	pt_BR
dc.description.abstract1	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).	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-5733-519X	pt_BR
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