  A minimal particle content supersymmetric model with a discrete Z_3 symmetry,
allowing lepton number violating terms, is studied. Within this model, the
neutrino masses and mixing can be generated by lepton number violating
couplings. Choosing parameters which correctly describe both the masses and
mixing in the neutrino sector, we consider their repercussions in flavour
violating radiative lepton decays, l --> l' gamma. Such decays have not been
observed and, accordingly, soon to be improved, upper bounds on their branching
ratios exist. We do not assume dominance of either the bilinear or trilinear
couplings. We note that certain parameter sets, which correctly describe the
neutrino sector, will also generate observable branching ratios, some of which
are already precluded, and suggest four such sets as Benchmark scenarios.
