Luca Sabatini

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20232026

most citedOn stabilizers in finite permutation groups

1 citations · 2 across the 11 of their papers we have counts for

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math.GR2024★ 1 cited

On stabilizers in finite permutation groups

Luca Sabatini

Let $G$ be a permutation group on the finite set $Ω$ . We prove various results about partitions of $Ω$ whose stabilizers have good properties. In particular, in every solvable perm…

math.CO2024

The diameter of random Schreier graphs

Daniele Dona, Luca Sabatini

We give a combinatorial proof of the following theorem. Let $G$ be any finite group acting transitively on a set of cardinality $n$ . If $S \subseteq G$ is a random set of size $k$ ,…

math.GR2024

Quasirandom and quasisimple groups

Marco Barbieri, Luca Sabatini

Fix $ε > 0$ . We say that a finite group $G$ is $ε$ -quasirandom if every nontrivial irreducible complex representation of $G$ has degree at least $|G|^\varepsilo…