E. de Melo

activity

20192023

most citedOn the exponent of the Weak commutativity group

χ (G)

3 citations · 6 across the 5 of their papers we have counts for

collaborators

6 papers

math.GR2023

Non-metacyclic groups acting with nilpotent centralizers

Emerson de Melo, Jhone Caldeira

Let $A$ be a non-metacyclic finite group. Suppose that $A$ acts coprimely on a finite group $G$ in such a manner that $C_{G} (a)$ is nilpotent for any $a \in A^{#}$ . In the present pa…

math.GR2023

Nilpotent Residual of a Finite Group

Eliana Rodrigues, Emerson de Melo, Gülin Ercan

Let $F$ be a nilpotent group acted on by a group $H$ via automorphisms and let the group $G$ admit the semidirect product $F H$ as a group of automorphisms so that $C_{G} (F) = 1$ . We…

math.GR2020★ 1 cited

Virtually nilpotent groups with finitely many orbits under automorphisms

Raimundo Bastos, Alex C. Dantas, Emerson de Melo

Let $G$ be a group. The orbits of the natural action of $\Aut(G)$ on $G$ are called "automorphism orbits" of $G$ , and the number of automorphism orbits of $G$ is denoted by $ω (G)$ .…

math.GR2020★ 3 cited

On the exponent of the Weak commutativity group $χ (G)$

R. Bastos, E. de Melo, R. de Oliveira

The weak commutativity group $χ (G)$ is generated by two isomorphic groups $G$ and $G^{φ}$ subject to the relations $[g, g^{φ}] = 1$ for all $g \in G$ . The group $χ (G)$ is an extension o…

math.GR2020★ 2 cited

The exponent of the non-abelian tensor square and related constructions of $p$ -groups

R. Bastos, E. de Melo, N. Gonçalves +1

Let $G$ be a finite $p$ -group. In this paper we obtain bounds for the exponent of the non-abelian tensor square $G \otimes G$ and of $ν (G)$ , which is a certain extension of $G \oti…

math.GR2019

Non-abelian tensor square and related constructions of $p$ -groups

Raimundo Bastos, Emerson de Melo, Nathália Gonçalves +1

Let $G$ be a group. We denote by $ν (G)$ a certain extension of the non-abelian tensor square $[G, G^{φ}]$ by $G \times G$ . We prove that if $G$ is a finite potent $p$ -group, then $[G,…

Non-metacyclic groups acting with nilpotent centralizers

Nilpotent Residual of a Finite Group

Virtually nilpotent groups with finitely many orbits under automorphisms

On the exponent of the Weak commutativity group χ(G)

The exponent of the non-abelian tensor square and related constructions of p-groups

Non-abelian tensor square and related constructions of p-groups

On the exponent of the Weak commutativity group $χ (G)$

The exponent of the non-abelian tensor square and related constructions of $p$ -groups

Non-abelian tensor square and related constructions of $p$ -groups