Abstract
Discrete symmetries associated with the roots of unity are employed to construct Fritzsch-type mass matrices for the three generations of fermions in the standard model with SU(3)\ifmmode\times\else\texttimes\fi{}SU(2)\ifmmode\times\else\texttimes\fi{}U(1) gauge symmetry. The model requires four conventional Higgs doublets to account for the hierarchy of fermion masses and mixings.
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