I. Nakaoka

collaborators

3 papers

math.GR2018

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

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.CO2017

Projective planes and set multipartite Ramsey numbers for $C_{4}$ versus star

Claudia J. F. Gonçalves, Emerson L. Monte Carmelo, Irene N. Nakaoka

Set multipartite Ramsey numbers were introduced in 2004, ge-neralizing the celebrated Ramsey numbers. Let $C_{4}$ denote the four cycle and let $K_{1, n}$ denote the star on $n + 1$ ver…

The order of the non-abelian tensor product of groups

Commuting graph of a group on a transversal

Projective planes and set multipartite Ramsey numbers for C4​ versus star

Projective planes and set multipartite Ramsey numbers for $C_{4}$ versus star