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We study the problem of anyons with statistics {ν} in a strong magnetic field by means of a similarity transformation. The ground state of this problem exhibits an ``integer'' quantum Hall effect at filling factor 1/{ν} with quasiparticle excitations of charge q/{ν} and statistics -1/{ν}. Certain electron fractional quantum Hall states can be considered as a realization of this, for example, the 2/5, 3/7,. . . hierarchy of the 1/3 state. This may explain the observed quasiparticle-quasihole asymmetry in the fractional quantum hall hierarchy.
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Ma et al. (1991) studied this question.
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