Finiteness conditions for the box-tensor product of groups and related constructions

Bastos, Raimundo; Nakaoka, I. N.; Rocco, N. R.

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Campo DC	Valor	Idioma
dc.contributor.author	Bastos, Raimundo	-
dc.contributor.author	Nakaoka, I. N.	-
dc.contributor.author	Rocco, N. R.	-
dc.date.accessioned	2022-05-12T11:44:19Z	-
dc.date.available	2022-05-12T11:44:19Z	-
dc.date.issued	2021	-
dc.identifier.citation	BASTOS, Raimundo.; NAKAOKA, I. N.; ROCCO, N. R. Finiteness conditions for the box-tensor product of groups and related constructions. Journal of Algebra, v. 587, p. 594-612, 2021. DOI: https://doi.org/10.1016/j.jalgebra.2021.08.010. Disponível em: https://www.sciencedirect.com/science/article/pii/S0021869321004129. Acesso em: 12 maio 2022.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/43681	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Elsevier	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Finiteness conditions for the box-tensor product of groups and related constructions	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Condições de finitude	pt_BR
dc.rights.license	© 2021 Elsevier Inc. All rights reserved.	pt_BR
dc.identifier.doi	https://doi.org/10.1016/j.jalgebra.2021.08.010	pt_BR
dc.relation.publisherversion	https://www.sciencedirect.com/science/article/pii/S0021869321004129	pt_BR
dc.description.abstract1	We study finiteness conditions and closure properties for the box-tensor product G⊠H and related constructions. The content of this paper extends some results concerning the non-abelian tensor product of groups G⊗H. In particular, we deduce a quantitative version of the finiteness criterion for the non-abelian tensor product. Moreover, we obtain finiteness conditions for some functors that arise out of the non-abelian tensor square of groups, such as the second homology group H2(G), the non-abelian exterior square G∧G and the second stable homotopy group of an Eilenberg-MacLane space π2S(K(G,1)).	pt_BR
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