  In a recent paper Cameron, Lakshmanan and Ajith began an exploration of
hypergraphs defined on algebraic structures, especially groups, to investigate
whether this can add a new perspective. Following their suggestions, we
consider suitable hypergraphs encoding the generating properties of a finite
group. In particular, answering a question asked in their paper, we classified
the finite solvable groups whose generating hypergraph is the basis hypergraph
of a matroid.
