Fabio Mastrogiacomo

collaborators

3 papers

math.GR2024

On the minimal degree and base size of finite primitive groups

Fabio Mastrogiacomo

Let $G$ be a finite permutation group acting on $Ω$ . A base for $G$ is a subset $B \subseteq Ω$ such that the pointwise stabilizer $G_{(B)}$ is the identity. The base size of $G$ ,…

math.GR2023

On the cardinality of irredundant and minimal bases of finite permutation groups

Francesca Dalla Volta, Fabio Mastrogiacomo, Pablo Spiga

Given a finite permutation group $G$ with domain $Ω$ , we associate two subsets of natural numbers to $G$ , namely $I (G, Ω)$ and $M (G, Ω)$ , which are the sets of ca…

math.GR2023

On the strong connectivity of the 2-Engel graphs of almost simple groups

F. Dalla Volta, F. Mastrogiacomo, P. Spiga

The Engel graph of a finite group $G$ is a directed graph encoding the pairs of elements in $G$ satisfying some Engel word. Recent work of Lucchini and the third author shows that,…