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

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Showing 2018Show all

3 papers · 1 filter

math.GR2018

Group partitions of minimal size

Martino Garonzi, Michell Lucena Dias

A cover of a finite group $G$ is a family of proper subgroups of $G$ whose union is $G$ , and a cover is called minimal if it is a cover of minimal cardinality. A partition of $G$ i…

math.GR2018

Maximal irredundant families of minimal size in the alternating group

Martino Garonzi, Andrea Lucchini

Let $G$ be a finite group. A family $M$ of maximal subgroups of $G$ is called `irredundant' if its intersection is not equal to the intersection of any proper subfamily.…

math.GR2018

On integers that are covering numbers of groups

Martino Garonzi, Luise-Charlotte Kappe, Eric Swartz

The covering number of a group $G$ , denoted by $σ (G)$ , is the size of a minimal collection of proper subgroups of $G$ whose union is $G$ . We investigate which integers are covering…