A. Lucchini

most citedOn finite

d

-maximal groups

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.GR2025

Finite groups in which every cyclic subgroup is the intersection of maximal subgroups

Andrea Lucchini

We determine the structure of the finite groups with the property that every cyclic subgroup is the intersection of maximal subgroups, comparing this property with the one where al…

math.GR2025

Finite groups with regular subgroup graph

Andrea Lucchini

We prove that the subgroup graph of a finite group $G$ is regular if and only if $G$ is cyclic with square-free order.

math.GR2025

Independence and strong independence complexes of finite groups

Andrea Lucchini, Mima Stanojkovski

Let $G$ be a finite group. In 2024, Cameron introduced two different concepts of independence (namely independence and strong independence) for the subsets of $G$ , yielding to the…

math.GR2023★ 1 cited

On finite $d$ -maximal groups

Andrea Lucchini, Luca Sabatini, Mima Stanojkovski

Let $d$ be a positive integer. A finite group is called $d$ -maximal if it can be generated by precisely $d$ elements, while its proper subgroups have smaller generating sets. For $…

math.GR2023

Probabilistic properties of profinite groups

Eloisa Detomi, Andrea Lucchini, Marta Morigi +1

Let $C$ be a class of finite groups which is closed for subgroups, quotients and direct products. Given a profinite group $G$ and an element $x \in G$ , we denote by $P_{\m…

Finite groups in which every cyclic subgroup is the intersection of maximal subgroups

Finite groups with regular subgroup graph

Independence and strong independence complexes of finite groups

On finite d-maximal groups

Probabilistic properties of profinite groups

On finite $d$ -maximal groups