Attila Mar'oti

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20202026

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math.GR2025

Groups with conjugacy classes of coprime sizes

Rachel D. Camina, Attila Maróti, Emanuele Pacifici +6

Suppose that $x$ , $y$ are elements of a finite group $G$ lying in conjugacy classes of coprime sizes. We prove that $⟨ x^{G} ⟩ \cap ⟨ y^{G} ⟩$ is an abelian nor…

math.GR2025

Covering the set of $p$ -elements in finite groups by Sylow $p$ -subgroups

Attila Maróti, Juan Martínez, Alexander Moretó

Let $G_{p}$ be the set of $p$ -elements of a finite group $G$ . Do we need all the Sylow $p$ -subgroups of $G$ to cover $G_{p}$ ? Although this question does not have an affirmative answer…

math.GR2025

On the base size and minimal degree of transitive groups

Lorenzo Guerra, Attila Maróti, Fabio Mastrogiacomo +1

Let $G$ be a permutation group, and denote with $μ (G)$ and $b (G)$ its minimal degree and base size respectively. We show that for every $ε > 0$ , there exists a transitive p…

Groups with conjugacy classes of coprime sizes

Covering the set of p-elements in finite groups by Sylow p-subgroups

On the base size and minimal degree of transitive groups

Covering the set of $p$ -elements in finite groups by Sylow $p$ -subgroups