Kamilla Rekv'enyi

collaborators

4 papers

math.GR2026

On the orbital diameter of classical groups in standard action

Attila Maróti, Kamilla Rekvényi

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 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

Separating subsets from their images

Marco Barbieri, Maruša Lekše, Primož Potočnik +1

Let $G$ be a transitive permutation group acting on $Ω$ . In this paper, we introduce and study the parameter $m (G)$ , which denotes the size of the smallest set of points $A$ …

math.GR2025

Prime simplicial complexes of finite groups

Melissa Lee, Kamilla Rekvényi

The prime simplicial complex $Π (G)$ of a finite group $G$ is composed of all sets of primes $S$ where $G$ has an element of order the product of primes in $S$ , with the subsets par…