  Ferromagnetic quantum criticality in clean metals has proven elusive due to
fermionic soft modes that drive the transition first order. We show that
non-centrosymmetric metals with a strong spin-orbit interaction provide a
promising class of materials for realizing a ferromagnetic quantum critical
point in clean systems. The spin-orbit interaction renders massive the soft
modes that interfere with quantum criticality in most materials, while the
absence of spatial inversion symmetry precludes the existence of new classes of
soft modes that could have the same effect.
