D. Dona

activity

20172025

most citedGraph isomorphisms in quasi-polynomial time

21 citations · 24 across the 8 of their papers we have counts for

collaborators

9 papers

math.GR2025

Products of three conjugacy classes in the alternating group

Daniele Dona

We prove that for $δ$ small, $n$ large, and any three conjugacy classes $C_{1}, C_{2}, C_{3}$ of $G = Alt (n)$ of size at least $∣ G ∣^{1 - δ}$ we have $C_{1} C_{2} C_{3} = G$ . The res…

math.GR2024

A CFSG-free explicit Jordan's theorem over arbitrary fields

Jitendra Bajpai, Daniele Dona

We prove a version of Jordan's classification theorem for finite subgroups of $GL_{n} (K)$ that is at the same time quantitatively explicit, CFSG-free, and valid for arbitr…

math.GR2024

Writing finite simple groups of Lie type as products of subset conjugates

Daniele Dona

The Liebeck-Nikolov-Shalev conjecture [LNS12] asserts that, for any finite simple non-abelian group $G$ and any set $A \subseteq G$ with $∣ A ∣ \geq 2$ , $G$ is the product of at most $…

math.GR2023

New dimensional estimates for subvarieties of linear algebraic groups

Jitendra Bajpai, Daniele Dona, Harald Andrés Helfgott

For every connected, almost simple linear algebraic group $G \leq GL_{n}$ over a large enough field $K$ , every subvariety $V \subseteq G$ , and every finite generating set $A\…

math.GR2022

Arithmetic Monodromy in Sp(2n)

Jitendra Bajpai, Daniele Dona, Martin Nitsche

Based on a result of Singh--Venkataramana, Bajpai--Dona--Singh--Singh gave a criterion for a discrete Zariski-dense subgroup of Sp(2n,Z) to be a lattice. We adapt this criterion so…

math.RA2022★ 1 cited

A sum-bracket theorem for simple Lie algebras

Daniele Dona

Let $g$ be an algebra over $K$ with a bilinear operation $[\cdot, \cdot] : g \times g \to g$ not necessarily associative. For $A\subset…