Martino Garonzi

most citedCovering monolithic groups with proper subgroups

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

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 $G$ …

math.GR2012

Direct products of finite groups as unions of proper subgroups

Andrea Lucchini, Martino Garonzi

We determine all the ways in which a direct product of two finite groups can be expressed as the set-theoretical union of proper subgroups in a family of minimal cardinality.

math.GR2012

Covering certain monolithic groups with proper subgroups

Martino Garonzi

Given a finite non-cyclic group $G$ , call $σ (G)$ the least number of proper subgroups of $G$ needed to cover $G$ . In this paper we give lower and upper bounds for $σ (G)$ for $G$ a…

math.GR2012

Covering certain Wreath Products with Proper Subgroups

Martino Garonzi, Attila Maroti

For a non-cyclic finite group $X$ let $σ (X)$ be the least number of proper subgroups of $X$ whose union is $X$ . Precise formulas or estimates are given for $σ (S ≀ C_{m})$ for cer…