  We present a discussion of superconductivity in non-centrosymmetric
superconductors with spin-orbit coupling. A general expression for the
quasiparticle excitation energy is derived. The superconducting states for the
point group C2v are classified by symmetry in the limit of weak spin-orbit
coupling. A non-unitary triplet pairing gap function can account for
observations of broken time-reversal symmetry and nodes in the superconducting
state of LaNiC2; however such a gap function also has a gapless branch and
requires vanishing spin-orbit coupling.
