Attila Mar'oti

collaborators

4 papers

math.GR2026

On the orbital diameter of classical groups in standard action

Attila MarÃ³ti, Kamilla RekvÃ©nyi

Let $G$ be a primitive permutation group acting on a finite set $X$ . The orbital diameter $diam (X, G)$ is defined to be the supremum of the diameters of the (connected) orb…

math.GR2025

Groups with conjugacy classes of coprime sizes

Rachel D. Camina, Attila MarÃ³ti, 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 MarÃ³ti, Juan MartÃnez, Alexander MoretÃ³

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 MarÃ³ti, Fabio Mastrogiacomo +1

Let $G$ be a permutation group, and denote with $I^¼ (G)$ and $b (G)$ its minimal degree and base size respectively. We show that for every $ε > 0$ , there exists a transitive…

On the orbital diameter of classical groups in standard action

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