Two theorems on Riemann surfaces with noncyclic automorphism groups.
Author:
Robert D. M. Accola
Journal:
Proc. Amer. Math. Soc. 25 (1970), 598-602
MSC:
Primary 30.45
DOI:
https://doi.org/10.1090/S0002-9939-1970-0259105-1
MathSciNet review:
0259105
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Abstract | Similar Articles | Additional Information
Abstract: Let $W$ be a Riemann surface with finite automorphism group, $G$. Two formulas are proved which relate the genera of $W,\;W/G$ and $W/H$ where $H$ ranges over certain subgroups of $G$. 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