5 papers
Some Structural and Closure Properties of an Extension of the -tensor Product of Groups,
Ivonildes R. M. Dias, Eunice C. P. Rodrigues, Noraí R. Rocco
In this work we study some structural properties of the group , a non-negative integer, which is an extension of the -tensor product , where a…
Finiteness of homotopy groups related to the non-abelian tensor product
Raimundo Bastos, Noraí R. Rocco, Ewerton R. Vieira
By using finiteness related result of non-abelian tensor product we prove finiteness conditions for the homotopy groups in terms of the number of tensors. In particular, w…
The order of the non-abelian tensor product of groups
Raimundo Bastos, Irene N. Nakaoka, Noraí R. Rocco
Let and be groups that act compatibly on each other. We denote by the derivative subgroup of under . We prove that if the set $\{g^{-1}g^h \mid g \in G, h \i…
A Polycyclic Presentation for the q-Tensor Square of a Polycyclic Group
Ivonildes Ribeiro Martins Dias, Noraí Romeu Rocco
Let be a group and a non-negative integer. We denote by a certain extension of the -tensor square by . In this paper we derive a pol…
Q-tensor square of finitely generated nilpotent groups, q >= 0
Noraí R. Rocco, Eunice C. P. Rodrigues
The authors extend to the tensor square of a group , a non-negative integer, some structural results due to R. D. Blyth, F. Fumagalli and M. Morigi conce…