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math.GR2018★ 3 cited
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…
math.GR2018★ 1 cited
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…