  We consider a channel of an incompressible fractional-quantum-Hall-effect
(FQHE) liquid containing an island of another FQHE liquid. It is predicted that
the resistance of this channel will be periodic in the flux through the island,
with the period equal to an odd integer multiple of the fundamental flux
quantum, $\phi_{0}=hc/e$. The multiplicity depends on the quasiparticle charges
of the two FQHE liquids.
