Título :	Finiteness conditions for the box-tensor product of groups and related constructions
Autor :	Bastos, Raimundo Nakaoka, I. N. Rocco, N. R.
Assunto::	Condições de finitude
Fecha de publicación :	2021
Editorial :	Elsevier
Citación :	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.
Abstract:	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)).
Licença::	© 2021 Elsevier Inc. All rights reserved.
DOI:	https://doi.org/10.1016/j.jalgebra.2021.08.010
metadata.dc.relation.publisherversion:	https://www.sciencedirect.com/science/article/pii/S0021869321004129
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