I. Nakaoka

activity

20162018

most citedFiniteness conditions for the non-abelian tensor product of groups

7 citations · 9 across the 4 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.GR2018★ 1 cited

The order of the non-abelian tensor product of groups

Raimundo Bastos, Irene N. Nakaoka, Noraí R. Rocco

Let $G$ and $H$ be groups that act compatibly on each other. We denote by $[G, H]$ the derivative subgroup of $G$ under $H$ . We prove that if the set $\{g^{-1}g^h \mid g \in G, h \i…

math.GR2018★ 1 cited

Commuting graph of a group on a transversal

Julio C. M. Pezzott, Irene N. Nakaoka

Given a finite group $G$ and a subset $X$ of $G$ , the commuting graph of $G$ on $X$ , denoted by $C (G, X)$ , is the graph that has $X$ as its vertex set with $x, y \in X$ joined…

math.GR2016★ 7 cited

Finiteness conditions for the non-abelian tensor product of groups

Raimundo Bastos, Irene N. Nakaoka, Noraí R. Rocco

Let $G$ , $H$ be groups. We denote by $η (G, H)$ a certain extension of the non-abelian tensor product $G \otimes H$ by $G \times H$ . We prove that if $G$ and $H$ are groups that act…