Attila Mar'oti

collaborators

5 papers

math.GR2024

Wreath products and the non-coprime $k (G V)$ problem

Nguyen N. Hung, Attila Maróti, Juan Martínez Madrid

Let $G = X ≀ H$ be the wreath product of a nontrivial finite group $X$ with $k$ conjugacy classes and a transitive permutation group $H$ of degree $n$ acting on the set of $n$ di…

math.GR2024

Fixed point ratios, Sylow numbers and coverings of $p$ -elements in finite groups

Robert M. Guralnick, Attila Maróti, Juan Martínez Madrid +2

Fixed point ratios for primitive permutation groups have been extensively studied. Relying on a recent work of Burness and Guralnick, we obtain further results in the area. For a p…

math.GR2024

More on Landau's theorem and Conjugacy Classes

Burcu Çınarcı, Thomas Michael Keller, Attila Maróti +1

In this paper we present two new results on the number of certain conjugacy classes of a finite group. For a finite group $G$ , let $n (G)$ be the maximum of $k_{p} (G)$ taken over al…

math.GR2024

On the Gowers trick for classical simple groups

Francesco Fumagalli, Attila Maróti

If $A$ , $B$ , $C$ are subsets in a finite simple group of Lie type $G$ at least two of which are normal with $∣ A ∣∣ B ∣∣ C ∣$ relatively large, then we establish a stronger conclusion th…

math.GR2024

Growth of products of subsets in finite simple groups

Daniele Dona, Attila Maróti, László Pyber

We prove that the product of a subset and a normal subset inside any finite simple non-abelian group $G$ grows rapidly. More precisely, if $A$ and $B$ are two subsets with $B$ norm…

Wreath products and the non-coprime k(GV) problem

Fixed point ratios, Sylow numbers and coverings of p-elements in finite groups

More on Landau's theorem and Conjugacy Classes

On the Gowers trick for classical simple groups

Growth of products of subsets in finite simple groups

Wreath products and the non-coprime $k (G V)$ problem

Fixed point ratios, Sylow numbers and coverings of $p$ -elements in finite groups