Andrea Previtali

activity

20232025

collaborators

4 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.GR2024

Groups having minimal covering number 2 of diagonal type

Marco Fusari, Andrea Previtali, Pablo Spiga

Garonzi and Lucchini~\cite{GL} explored finite groups $G$ possessing a normal $2$ -covering, where no proper quotient of $G$ exhibits such a covering. Their investigation offered a…

math.GR2024

A study of the Wamsley group and its Sylow subgroups

A. Previtali, F. Szechtman

We study the Wamsley group $⟨ X, Y, Z ∣ X^{Z} = X^{α},^{Z} Y = Y^{β}, Z^{γ} = [X, Y]⟩$ and its Sylow subgroups, where $α^{γ} \neq = 1 \neq = β^{γ}$ and $γ > 0$ , obtaining the sharpest results w…

math.GR2023

Cliques in derangement graphs for innately transitive groups

Marco Fusari, Andrea Previtali, Pablo Spiga

Given a permutation group $G$ , the derangement graph of $G$ is the Cayley graph with connection set the derangements of $G$ . The group $G$ is said to be innately transitive if $G$ …