One of the long-standing and only partially solved problems of theoretical condensed matter physics and mathematical physics is to demonstrate that ground states of some of the versions of the Hubbard model can exhibit a ferromagnetic ordering. In my talk I will present a result showing that crucial for this is the character of the lattice on which the Hubbard model is formulated: while on simple cubic lattices no ferromagnetic ordering seems to be possible, it can naturally arise, for low densities of magnetic moment carriers, on so-called frustrated lattices.