  Performing an exact diagonalization of the effective spin problem, a
ferromagnetic ground state of kinetic origin is shown to emerge in a system of
$N$ strongly correlated electrons on a $L$-site ring ($L > N$). This phenomenon
is brought about by the quantum necklace statistics originated from the no
double occupancy constraint leading to a fractional shifted electron momentum
quantization. As a consequence of such special energy level distribution, the
kinetic ferromagnetism is stable only for $N=3$. For odd $N>3$ the fully
polarized FM state energy is only a local minimum but it is protected by a
finite energy barrier that inhibits one spin-flip processes. The metastable
ferromagnetic state survives perturbations of small magnitude opening up a
possibility of being experimentally observed by an appropriate tuning of the
interdot tunneling amplitudes in currently available quantum dot arrays.
