E. Melo

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20172026

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math.GR2019

Exponent of Self-similar finite $p$ -groups

Alex Carrazedo Dantas, Emerson de Melo

Let $p$ be a prime and $G$ a pro- $p$ group of finite rank that admits a faithful, self-similar action on the $p$ -ary rooted tree. We prove that if the set $\{g\in G \ | \ g^{p^n}=1…

math.GR2018

Supersolvable Frobenius groups with nilpotent centralizers

Jhone Caldeira, Emerson de Melo

Let $F H$ be a supersolvable Frobenius group with kernel $F$ and complement $H$ . Suppose that a finite group $G$ admits $F H$ as a group of automorphisms in such a manner that $C_G(F…

math.GR2017

Nilpotent residual of fixed points

Emerson de Melo, Aline de Souza Lima, Pavel Shumyatsky

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…

Exponent of Self-similar finite p-groups

Supersolvable Frobenius groups with nilpotent centralizers

Nilpotent residual of fixed points

Exponent of Self-similar finite $p$ -groups