13 citations · 14 across the 26 of their papers we have counts for
5 papers · 2 filters
Finite soluble groups satisfying the replacement property
A. Lucchini
We investigate the finite soluble groups with the following property (replacement property): for every irredundant generating set of maximal size and for an…
On the orders of the non-Frattini elements of a finite group
Andrea Lucchini
Let be a finite group and let be distinct primes. If contains an element of order then there is an element in which is not contained in…
The expected number of elements to generate a finite group with -generated Sylow subgroups
Andrea Lucchini, Mariapia Moscatiello
Given a finite group let be expected number of elements of which have to be drawn at random, with replacement, before a set of generators is found. If all the Sylow…
Alternating and symmetric groups with Eulerian generating graph
Andrea Lucchini, Claude Marion
Given a finite group , the generating graph of has as vertices the (nontrivial) elements of and two vertices are adjacent if and only if they are distinct and gen…
Intersection of maximal subgroups in prosolvable groups
Iker de las Heras, Andrea Lucchini
Let be an open subgroup of a profinite group that can be expressed as intersection of maximal subgroups of Given a positive real number we say that is an -inte…