Martino Garonzi

activity

20112025

most citedOn the number of cyclic subgroups of a finite group

10 citations · 25 across the 23 of their papers we have counts for

collaborators

Showing 2013Show all

2 papers · 1 filter

math.GR2013★ 1 cited

Covers and Normal Covers of Finite Groups

Andrea Lucchini, Martino Garonzi

For a finite non cyclic group $G$ , let $γ (G)$ be the smallest integer $k$ such that $G$ contains $k$ proper subgroups $H_{1}, \dots, H_{k}$ with the property that every element of $G$ is…

math.GR2013★ 2 cited

Covering monolithic groups with proper subgroups

Martino Garonzi

Given a finite non-cyclic group $G$ , call $σ (G)$ the smallest number of proper subgroups of $G$ needed to cover $G$ . Lucchini and Detomi conjectured that if a nonabelian group $G$ …