Emerson de Melo

collaborators

3 papers

math.GR2025

Automorphism Orbits of the Group of Unitriangular Matrices

Emerson de Melo, Júlia Kato

Let $G$ be a group. The orbits of the natural action of $A u t (G)$ on $G$ are called the automorphism orbits of $G$ , and their number is denoted by $ω (G)$ . Let $F$ be an inf…

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…