E. de Melo

collaborators

3 papers

math.GR2019

Soluble Groups with few orbits under automorphisms

Raimundo Bastos, Alex Carrazedo 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.GR2019

Nilpotent residual and Fitting subgroup of fixed points in finite groups

Emerson de Melo

Let $q$ be a prime and $A$ a finite $q$ -group of exponent $q$ acting by automorphisms on a finite $q^{'}$ -group $G$ . Assume that $A$ has order at least $q^{3}$ . We show that if $γ_{\inf…

math.GR2018

Fitting subgroup and nilpotent residual of fixed points

Emerson de Melo, Pavel Shumyatsky

Let $q$ be a prime and $A$ an elementary abelian group of order at least $q^{3}$ acting by automorphisms on a finite $q^{'}$ -group $G$ . It is proved that if $|γ_{\infty}(C_{G}(a))|\leq…