A. Maróti

activity

20092021

most citedGAP Computations Concerning Hamiltonian Cycles in the Generating Graphs of Finite Groups

3 citations · 5 across the 11 of their papers we have counts for

collaborators

15 papers

math.GR2021

On partial augmentations of elements in integral group rings

Victor Bovdi, Attila Maroti

Inner relations are derived between partial augmentations of certain elements (units or idempotents) in group rings.

math.GR2020

p-Regular conjugacy classes and p-rational irreducible characters

Nguyen Ngoc Hung, Attila Maroti

Let $G$ be a finite group of order divisible by a prime $p$ . The number of $p$ -regular and $p^{'}$ -regular conjugacy classes of $G$ is at least $2 p - 1$ . Also, the number of $p$ -…

math.RT2019

Irreducible induction and nilpotent subgroups in finite groups

Zoltan Halasi, Attila Maroti, Gabriel Navarro +1

Suppose that $G$ is a finite group and $H$ is a nilpotent subgroup of $G$ . If a character of $H$ induces an irreducible character of $G$ , then the generalized Fitting subgroup of $…

math.GR2018

Base sizes of primitive groups: bounds with explicit constants

Zoltan Halasi, Martin W. Liebeck, Attila Maroti

We show that the minimal base size $b (G)$ of a finite primitive permutation group $G$ of degree $n$ is at most $2 (lo g ∣ G ∣/ lo g n) + 24$ . This bound is asymptotically best possibl…

math.GR2015

Groups equal to a product of three conjugate subgroups

John Cannon, Martino Garonzi, Dan Levy +2

Let $G$ be a finite non-solvable group. We prove that there exists a proper subgroup $A$ of $G$ such that $G$ is the product of three conjugates of $A$ , thus replacing an earlier u…

math.GR2014★ 1 cited

On the number of conjugacy classes of a permutation group

Attila Maróti, Martino Garonzi

We prove that any permutation group of degree $n \geq 4$ has at most $5^{(n - 1) /3}$ conjugacy classes.