A. Lucchini

activity

20092023

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

13 citations · 41 across the 52 of their papers we have counts for

collaborators

65 papers

math.GR2023

The non-two-primes graph of a finite group

Karmele Garatea-Zaballa, Andrea Lucchini

To any finite group $G$ , we may associate a graph whose vertices are the elements of $G$ and where two distinct vertices $x$ and $y$ are adjacent if and only if the order of the su…

math.GR2023

The Minimum Generating Set Problem

Andrea Lucchini, Dhara Thakkar

Let $G$ be a finite group. In order to determine the smallest cardinality $d (G)$ of a generating set of $G$ and a generating set with this cardinality, one should repeat many times…

math.GR2023★ 3 cited

Group nilpotency from a graph point of view

Valentina Grazian, Andrea Lucchini, Carmine Monetta

Let $Γ_{G}$ denote a graph associated with a group $G$ . A compelling question about finite groups asks whether or not a finite group $H$ must be nilpotent provided $Γ_{H}$ is isomorphi…

math.GR2022

IBIS soluble linear groups

Andrea Lucchini, Dmitry Malinin

Let $G$ be a finite permutation group on $Ω.$ An ordered sequence $(ω_{1}, \dots, ω_{t})$ of elements of $Ω$ is an irredundant base for $G$ if the pointwise stabilizer is trivial and no…

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

Strongly generating elements in finite and profinite groups

Eloisa Detomi, Andrea Lucchini

Given a finite group $G$ and an element $g \in G$ , we may compare the expected number $e (G)$ of elements needed to generate $G$ and the expected number $e (G, g)$ of elements of $G$ n…