Attila Mar'oti

activity

20132021

most citedA proof of Pyber's base size conjecture

26 citations · 59 across the 9 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.GR2020

On the maximal number of elements pairwise generating the symmetric group of even degree

Francesco Fumagalli, Martino Garonzi, Attila Maróti

Let $G$ be the symmetric group of degree $n$ . Let $ω (G)$ be the maximal size of a subset $S$ of $G$ such that $⟨ x, y ⟩ = G$ whenever $x, y \in S$ and $x \neq = y$ and let…

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★ 11 cited

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+…