This Wikipedia article: http://en.wikipedia.org/wiki/Left%E2%80%93right_symmetry states that the weak part of the SM gauge group is not $SU(2)_L \times U(1)_Y$ but $ \frac{ SU(2)_L \times U(1)_Y}{\bf{Z}_2}$. If this is correct, what is the significance of the $\bf{Z}_2$ ?
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