13 citations · 14 across the 25 of their papers we have counts for
10 papers · 1 filter
Maximal intersections in finite groups
Andrea Lucchini
For a finite group , we investigate the behaviour of four invariants, and measuring in some way th…
The non--graph of a finite group
Andrea Lucchini, Daniele Nemmi
Given a formation , we consider the graph whose vertices are the elements of and where two vertices are adjacent if and only if $\langle g,h \rangle \no…
Profinite groups in which the probabilistic zeta function has no negative coefficients
Eloisa Detomi, Andrea Lucchini
To a finitely generated profinite group , a formal Dirichlet series is associated, where and $μ(H,G…
Applying the Kövári-Sós-Turán theorem to a question in group theory
Andrea Lucchini
Let be positive integers and a class of groups which is closed for subgroups, quotient groups and extensions. Suppose that a finite group satisfies the…
The independence graph of a finite group
Andrea Lucchini
Given a finite group we denote by the graph whose vertices are the elements and where two vertices and are adjacent if there exists a minimal generating set…
Genus, thickness and crossing number of graphs encoding the generating properties of finite groups
Cristina Acciarri, Andrea Lucchini
Assume that is a finite group and let and be non-negative integers. We define an undirected graph whose vertices correspond to the elements of $G^a\cup G^b…