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 2014Show all

3 papers · 1 filter

math.GR2014

Irredundant and minimal covers of finite groups

Andrea Lucchini, Martino Garonzi

A cover of a finite non-cyclic group $G$ is a family $H$ of proper subgroups of $G$ whose union equals $G$ . A cover of $G$ is called minimal if it has minimal size, and i…

math.GR2014★ 1 cited

Factorizing a Finite Group into Conjugates of a Subgroup

Dan Levy, Martino Garonzi

For every non-nilpotent finite group $G$ , there exists at least one proper subgroup $M$ such that $G$ is the setwise product of a finite number of conjugates of $M$ . We define $γ_{…

math.GR2014★ 1 cited

On the number of conjugacy classes of a permutation group

Attila Maróti, Martino Garonzi

We prove that any permutation group of degree $n \geq 4$ has at most $5^{(n - 1) /3}$ conjugacy classes.