Marco Fusari

collaborators

3 papers

math.GR2025

Normal 2-coverings in affine groups of small dimension

Marco Fusari, Andrea Previtali, Pablo Spiga

A finite group $G$ admits a normal $2$ -covering if there exist two proper subgroups $H$ and $K$ with $G = ⋃_{g \in G} H^{g} \cup ⋃_{g \in G} K^{g}$ . For determining inductively the…

math.GR2025

On derangements in simple permutation groups

Timothy C. Burness, Marco Fusari

Let $G ⩽ Sym (I^c ◯)$ be a finite transitive permutation group and recall that an element in $G$ is a derangement if it has no fixed points on $I^c ◯$ . Let $I^ (G)$ be the se…

math.GR2024

Kronecker classes, normal coverings and chief factors of groups

Marco Fusari, Scott Harper, Pablo Spiga

For a group $G$ , a subgroup $U \leq G$ and a group $Inn (G) \leq A \leq Aut (G)$ , we say that $U$ is an $A$ -covering group of $G$ if $G = ⋃_{a \in A} U^{a}$ . A th…