Two theorems on Riemann surfaces with noncyclic automorphism groups.
Abstract: Let be a Riemann surface with finite automorphism group, . Two formulas are proved which relate the genera of and where ranges over certain subgroups of . The two theorems are in a sense dual to each other.
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Keywords: Riemann surface, automorphism group, irreducible representation
Article copyright: © Copyright 1970 American Mathematical Society