Pietro Gheri

collaborators

4 papers

math.GR2022

On the maximal number of elements pairwise generating the finite alternating group

Francesco Fumagalli, Martino Garonzi, Pietro Gheri

Let $G$ be the alternating group of degree $n$ . Let $ω (G)$ be the maximal size of a subset $S$ of $G$ such that $⟨ x, y ⟩ = G$ whenever $x, y \in S$ and $x \neq = y$ and le…

math.GR2020

Subnormalizers and solvability in finite groups

Pietro Gheri

For a finite group $G$ , we study the probability $s p (G)$ that, given two elements $x, y \in G$ , the cyclic subgroup $⟨ x ⟩$ is subnormal in the subgroup $\langle x, y \r…

math.GR2020

On the number of $p$ -elements in a finite group

Pietro Gheri

In this paper we study the ratio between the number of $p$ -elements and the order of a Sylow $p$ -subgroup of a finite group $G$ . As well known, this ratio is a positive integer and…

math.GR2020

Subnormalizers and the degree of nilpotence in finite groups

Pietro Gheri

We present a CFSG-free proof of the fact that the degree of nilpotence of a finite nonnilpotent group is less than $1/2$ .

On the maximal number of elements pairwise generating the finite alternating group

Subnormalizers and solvability in finite groups

On the number of p-elements in a finite group

Subnormalizers and the degree of nilpotence in finite groups

On the number of $p$ -elements in a finite group