Andrea Lucchini

collaborators

2 papers

math.GR2026

2-covering numbers of some finite solvable groups

Andrea Lucchini

A 2-covering for a finite group $G$ is a set of proper subgroups of $G$ such that every pair of elements of $G$ is contained in at least one subgroup in the set. The minimal number…

math.GR2025

Finite groups with the minimal generating set exchange property

Andrea Lucchini, Patricia Medina Capilla

Let $d (G)$ be the smallest cardinality of a generating set of a finite group $G .$ We give a complete classification of the finite groups with the property that, whenever $ \langle…