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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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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Additional Information

Keywords: Riemann surface, automorphism group, irreducible representation
Article copyright: © Copyright 1970 American Mathematical Society