13 citations · 41 across the 52 of their papers we have counts for
4 papers · 2 filters
Irredundant and minimal covers of finite groups
Andrea Lucchini, Martino Garonzi
A cover of a finite non-cyclic group is a family of proper subgroups of whose union equals . A cover of is called minimal if it has minimal size, and i…
Coprime invariable generation and minimal-exponent groups
Eloisa Detomi, Andrea Lucchini, Colva M. Roney-Dougal
A finite group is \emph{coprimely-invariably generated} if there exists a set of generators of with the property that the orders are…
Invariable generation of prosoluble groups
Eloisa Detomi, Andrea Lucchini
A group is invariably generated by a subset of if for each choice of , . Answering two questions posed by Kantor, Lubotzk…
Invariable generation with elements of coprime prime-power order
Eloisa Detomi, Andrea Lucchini
A finite group is coprimely-invariably generated if there exists a set of generators of with the property that the orders are…