A. Maróti

activity

20122020

collaborators

4 papers

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.GR2012

Covering certain Wreath Products with Proper Subgroups

Martino Garonzi, Attila Maroti

For a non-cyclic finite group $X$ let $σ (X)$ be the least number of proper subgroups of $X$ whose union is $X$ . Precise formulas or estimates are given for $σ (S ≀ C_{m})$ for cer…