A. Lucchini

activity

20112023

most citedA low noise and low power cryogenic amplifier for single photoelectron sensitivity with large arrays of SiPMs

13 citations · 14 across the 26 of their papers we have counts for

collaborators

Showing 2022Show all

5 papers · 1 filter

math.GR2022

Finite groups in which there are only two possible cardinalities for an independent generating set

Andrea Lucchini, Pablo Spiga

A generating set $S$ for a group $G$ is independent if the subgroup generated by $S ∖ {s}$ is properly contained in $G$ , for all $s \in S .$ In this paper, we study a probl…

math.GR2022

The Engel graph of almost simple groups

Andrea Lucchini, Pablo Spiga

Given a finite group $G$ , the Engel graph of $G$ is a directed graph encoding pairs of elements satisfying some Engel word. From the work of Detomi, Lucchini and Nemmi, the strongl…

math.GR2022

Minimal invariable generating sets

Daniele Garzoni, Andrea Lucchini

A subset $S$ of a group $G$ invariably generates $G$ if, when each element of $S$ is replaced by an arbitrary conjugate, the resulting set generates $G .$ An invariable generating s…

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.GR2022

A generalization of a question asked by B. H. Neumann

Andrea Lucchini

Let $w \in F_{2}$ be a word and let $m$ and $n$ be two positive integers. We say that a finite group $G$ has the $w_{m, n}$ -property if however a set $M$ of $m$ elements and a set $N$ …