  The hierarchical structure of fermion masses and mixings strongly suggests an
underlying family symmetry. In supergravity any familon field spontaneously
breaking this symmetry necessarily acquires an F-term which contributes to the
soft trilinear couplings. We show, as a result, mu -> e gamma decay can receive
large contributions from this source at the level of current experimental
bounds and thus this channel may provide the first indication of supersymmetry
and a clue to the structure of the soft breaking sector. Using the mercury EDM
bounds we find strong bounds on the right handed down quark mixing angles that
are inconsistent with models relating them to neutrino mixing angles and favour
a near-symmetric form for the magnitude of the down quark mass matrix.
