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 2015Show all

5 papers · 1 filter

math.GR2015★ 7 cited

Finite Groups with 6 or 7 Automorphism Orbits

Alex Carrazedo Dantas, Martino Garonzi, Raimundo Bastos

Let $G$ be a group. The orbits of the natural action of $\mbox{Aut}(G)$ on $G$ are called "automorphism orbits" of $G$ , and the number of automorphism orbits of $G$ is denoted by $…

math.GR2015

Primitive permutation groups as products of point stabilizers

Martino Garonzi, Dan Levy, Attila Maróti +1

We prove that there exists a universal constant $c$ such that any finite primitive permutation group of degree $n$ with a non-trivial point stabilizer is a product of no more than…

math.GR2015★ 1 cited

Inequalities detecting structural properties of a finite group

Martino Garonzi, Massimiliano Patassini

We prove several results detecting ciclicity or nilpotency of a finite group $G$ in terms of inequalities involving the orders of the elements of $G$ and the orders of the elements…

math.GR2015

Groups equal to a product of three conjugate subgroups

John Cannon, Martino Garonzi, Dan Levy +2

Let $G$ be a finite non-solvable group. We prove that there exists a proper subgroup $A$ of $G$ such that $G$ is the product of three conjugates of $A$ , thus replacing an earlier u…

math.GR2015★ 1 cited

Factorizations of finite groups by conjugate subgroups which are solvable or nilpotent

Martino Garonzi, Dan Levy, Attila Maróti +1

We consider factorizations of a finite group $G$ into conjugate subgroups, $G = A^{x_{1}} \dots A^{x_{k}}$ for $A \leq G$ and $x_{1}, \dots, x_{k} \in G$ , where $A$ is nilpotent or sol…