Every finite group can be represented as a group of automorphisms of a compact Riemann surface of genus g ≥ 2. It is of interest to determine the minimum genus of the Riemann surface on which a given finite group acts as a group of automorphisms.
Keywords and Phrases
Riemann surface, Fuchsian group, automorphism, epimorphism, smooth quotient, metacyclic group, genus.
A.M.S. subject classiﬁcation