Luca Sabatini

most citedSylow subgroups for distinct primes and intersection of nilpotent subgroups

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

collaborators

3 papers

math.GR2026

Diameter bounds for arbitrary finite groups and applications

Sean Eberhard, Elena Maini, Luca Sabatini +1

We prove a strong general-purpose bound for the diameter of a finite group depending only on the diameters of its composition factors and the maximal exponent of a normal abelian s…

math.GR2026★ 1 cited

Sylow subgroups for distinct primes and intersection of nilpotent subgroups

Francesca Lisi, Luca Sabatini

Let $G$ be a finite group and let $(P_{i})_{i = 1}^{n}$ be Sylow subgroups for distinct primes $p_{1}, \dots, p_{n}$ . We conjecture that there exists $x \in G$ such that $P_{i} \cap P_{i}^{x}$ is i…

math.GR2025

Fixing two points in primitive solvable groups

Francesca Lisi, Luca Sabatini

Consider a finite primitive solvable group. We observe that a result of Y. Yang implies that there exist two points whose pointwise stabilizer has derived length at most $9$ . We sh…