Abstract
The selection rule in the quantum Hall effect is from the generalised spin statistics connection. For a two-dimensional fermion system, a necessary condition to have the quantum Hall effect at a filling factor v = p/q (p and q are mutual primes) is exp(ipq pi ) = exp(ip super(2) pi ); hence q must be an odd integer. For a two-dimensional boson system, a necessary condition to have the quantum Hall effect at v = p/q is exp(ipq pi ) = 1, hence filling factor v with both odd p and q is excluded from the quantum Hall effect, but other filling factors are possible candidates.