Daniele Nemmi

activity

20202022

collaborators

5 papers

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

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…

The Engel 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