13 citations · 14 across the 26 of their papers we have counts for
7 papers · 1 filter
The -Möbius function of a finite group
Francesca Dalla Volta, Andrea Lucchini
The Möbius function of the subgroup lettice of a finite group has been introduced by Hall and applied to investigate several different questions. We propose the following gener…
Semiregularity and connectivity of the non- graph of a finite group
Andrea Lucchini, Daniele Nemmi
Given a class of finite groups, we consider the graph whose vertices are the elements of and where two vertices are adja…
On the connectivity of the non-generating graph
Andrea Lucchini, Daniele Nemmi
Given a 2-generated finite group , the non-generating graph of has as vertices the elements of and two vertices are adjacent if and only if they are distinct and do not…
Forbidden subgraphs in generating graphs of finite groups
Andrea Lucchini, Daniele Nemmi
Let be a -generated group. The generating graph is the graph whose vertices are the elements of and where two vertices and are adjacent if $G = \langl…
Hypermaps over non-abelian simple groups and strongly symmetric generating sets
Andrea Lucchini, Pablo Spiga
A generating pair for a group is said to be \textbf{\textit{symmetric}} if there exists an automorphism of inverting both and , that is, $x^{φ_{x,y}…
Primitive permutation IBIS groups
Andrea Lucchini, Marta Morigi, Mariapia Moscatiello
Let be a finite permutation group on . An ordered sequence of elements of , , is an irredundant base for if the pointwise stabilizer $G_{(ω_1,\dots,…