Abstract
We extend a result on homology coverings of closed Riemann surfaces due to Maskit [1] to the class of analytically finite ones. We show that if S is an analyti-cally finite hyperbolic Riemann surface, then its conformal structure is determined by the conformal structure of its homology cover. The homology cover of a Riemann surface S is the highest regular covering of S with an Abelian group of covering transformations. In fact, we show that the commutator subgroup of any torsion-free, finitely generated Fuchsian group of the first kind determines it uniquely.
