  We use the BNL E821 measurement of g - 2, the anomalous magnetic moment of
the muon, to normalize, within a supersymmetric GUT framework, constrained MSSM
(CMSSM) predictions for processes that violate charged-lepton flavour
conservation, including mu to e gamma, mu to e conversion and K^0_L to mu e. We
illustrate our analysis with two examples of lepton mass matrix textures
motivated by data on neutrino oscillations. We find that mu to e gamma may well
occur at a rate within one or two (two or three) orders of magnitude of the
present experimental upper limit if g - 2 is within the one- (two-)standard
deviation range indicated by E821. We also find that mu to e conversion is
likely to occur at rate measurable by MECO, and there is a chance that K^0_L to
mu e may be observable in an experiment using an intense proton source.
