Jhone Caldeira

activity

20182025

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3 papers · 1 filter

math.GR2025

Finite and profinite groups with small Engel sinks of p-elements

Lucas Dal Berto, Jhone Caldeira, Pavel Shumyatsky

A (left) Engel sink of an element g of a group G is a subset containing all sufficiently long commutators [...[[x,g],g],...,g], where x ranges over G. We prove that if p is a prime…

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.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…