Attila Mar'oti

activity

20152021

p

-rational characters of

p^{'}

-degree

2 citations · 2 across the 1 of their papers we have counts for

collaborators

6 papers

math.RT2021★ 2 cited

On almost $p$ -rational characters of $p^{'}$ -degree

Nguyen Ngoc Hung, Gunter Malle, Attila Maróti

Let $p$ be a prime and $G$ a finite group. A complex character of $G$ is called almost $p$ -rational if its values belong to a cyclotomic field $Q (e^{2 π i / n})$ for some $n\i…

math.GR2020

Alternating groups as products of four conjugacy classes

Martino Garonzi, Attila Maróti

Let $G$ be the alternating group $\mbox{Alt}(n)$ on $n$ letters. We prove that for any $ε > 0$ there exists $N = N (ε) \in N$ such that whenever $n \geq…

math.GR2020

Bounding the number of classes of a finite group in terms of a prime

Attila Maróti, Iulian I. Simion

Héthelyi and Külshammer showed that the number of conjugacy classes $k (G)$ of any solvable finite group $G$ whose order is divisible by the square of a prime $p$ is at least $(49p+…

math.GR2018

An improved diameter bound for finite simple groups of Lie type

Zoltán Halasi, Attila Maróti, László Pyber +1

For a finite group $G$ , let $diam (G)$ denote the maximum diameter of a connected Cayley graph of $G$ . A well-known conjecture of Babai states that $diam (G)$ is bo…

math.GR2018

Finite simple groups with short Galois orbits on conjugacy classes

Victor Bovdi, Thomas Breuer, Attila Maróti

All finite simple groups are determined with the property that every Galois orbit on conjugacy classes has size at most 4. From this we list all finite simple groups $G$ for which…

math.GR2015

Finite groups have more conjugacy classes

Barbara Baumeister, Attila Maróti, Hung P. Tong-Viet

We prove that for every $ε > 0$ there exists a $δ > 0$ so that every group of order $n \geq 3$ has at least $δ lo g_{2} n / (lo g_{2} lo g_{2} n)^{3 + ε}$ conjugacy classes. This sharpe…