We provide related Dehn surgery descriptions for rational homology spheres
and a class of their regular finite cyclic covering spaces. As an applicati
on, we use the surgery descriptions to relate the Casson invariants of the
covering spaces to that of the base space. Finally, we show that this place
s restrictions on the number of finite and cyclic Dehn fillings of the knot
complements in the covering spaces beyond those imposed by Culler-Gordon-L
uecke-Shalen and Boyer-Zhang.