Abstract
A horizontal U\ensuremath{'}(1) gauge symmetry is proposed to distinguish two fermionic generations. By extending the notion of generation structure to the Higgs system, and using anomaly-free conditions with the requirements of lepton-number conservation and proper Cabibbo structure, we determine ${Y}^{\ensuremath{'}}$ associated with U\ensuremath{'}(1), uniquely. The model can easily be generalized to account for ${2}^{N}$ ($N=1,2,\ensuremath{\cdots}$) generations.
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