Daniele Nemmi

activity

20202024

most citedFinite groups satisfying the independence property

4 citations · 4 across the 9 of their papers we have counts for

collaborators

9 papers

math.GR2024

On the connectivity of the generating and rank graphs of finite groups

Andrea Lucchini, Daniele Nemmi

The generating graph encodes how generating pairs are spread among the elements of a group. For more than ten years it has been conjectured that this graph is connected for every f…

math.GR2024

Abelian supplements in almost simple groups

Mauro Costantini, Andrea Lucchini, Daniele Nemmi

Let $G$ be a finite almost simple group with socle $G_{0}$ . In this paper we prove that whenever $G / G_{0}$ is abelian, then there exists an abelian subgroup $A$ of $G$ such that $G=AG_…

math.GR2022★ 4 cited

Finite groups satisfying the independence property

Saul D. Freedman, Andrea Lucchini, Daniele Nemmi +1

We say that a finite group $G$ satisfies the independence property if, for every pair of distinct elements $x$ and $y$ of $G$ , either ${x, y}$ is contained in a minimal generating…

math.GR2022

The Engel graph of a finite group

Eloisa Detomi, Andrea Lucchini, Daniele Nemmi

For a finite group $G,$ we investigate the direct graph $Γ (G),$ whose vertices are the non-hypercentral elements of $G$ and where there is an edge $x \mapsto y$ if and only if $[x,_…

math.GR2021

On the soluble graph of a finite group

Timothy C. Burness, Andrea Lucchini, Daniele Nemmi

Let $G$ be a finite insoluble group with soluble radical $R (G)$ . In this paper we investigate the soluble graph of $G$ , which is a natural generalisation of the widely studied comm…

math.GR2021

Semiregularity and connectivity of the non- $F$ graph of a finite group

Andrea Lucchini, Daniele Nemmi

Given a class $F$ of finite groups, we consider the graph $Γ_{F} (G)$ whose vertices are the elements of $G$ and where two vertices $g, h \in G$ are adja…

math.GR2021

On the connectivity of the non-generating graph

Andrea Lucchini, Daniele Nemmi

Given a 2-generated finite group $G$ , the non-generating graph of $G$ has as vertices the elements of $G$ and two vertices are adjacent if and only if they are distinct and do not…

math.GR2021

Forbidden subgraphs in generating graphs of finite groups

Andrea Lucchini, Daniele Nemmi

Let $G$ be a $2$ -generated group. The generating graph $Γ (G)$ is the graph whose vertices are the elements of $G$ and where two vertices $g_{1}$ and $g_{2}$ are adjacent if $G = \langl…

math.GR2020

The non- $F$ -graph of a finite group

Andrea Lucchini, Daniele Nemmi

Given a formation $F$ , we consider the graph whose vertices are the elements of $G$ and where two vertices $g, h \in G$ are adjacent if and only if $\langle g,h \rangle \no…

On the connectivity of the generating and rank graphs of finite groups

Abelian supplements in almost simple groups

Finite groups satisfying the independence property

The Engel graph of a finite group

On the soluble graph of a finite group

Semiregularity and connectivity of the non-F graph of a finite group

On the connectivity of the non-generating graph

Forbidden subgraphs in generating graphs of finite groups

The non-F-graph of a finite group

Semiregularity and connectivity of the non- $F$ graph of a finite group

The non- $F$ -graph of a finite group