Electrical conductivity \(\sigma = q(n\mu_n + p\mu_p)\).
For a pure (intrinsic) semiconductor, \(n=p=n_i\), which is small.
(a) Increasing mean lifetime: Would increase average carrier density, thus increasing conductivity. However, doping has a much larger effect.
(b) Increasing forbidden energy gap (\(E_g\)): Makes it harder to create electron-hole pairs, so it decreases intrinsic carrier concentration and conductivity.
(c) Adding some impurities into it (Doping): This is the most effective and standard method. It introduces a large number of majority carriers (either electrons for n-type or holes for p-type), significantly increasing conductivity.
(d) "Sharing conduction band": This is unclear and not a standard method to increase conductivity of a given semiconductor material.
The most effective and standard method is doping.
\[ \boxed{\text{Adding some impurities into it}} \]