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The symmetric genus of 2-groups

Published online by Cambridge University Press:  01 March 1999

JAY ZIMMERMAN
JAY ZIMMERMAN
Affiliation:
Department of Mathematics, Towson University, 8000 York Road, Towson, Maryland 21252, USA; e-mail: J.Zimmerman@towson.edu
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Abstract

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A finite group G can be represented as a group of automorphisms of a compact Riemann surface, that is, G acts on a Riemann surface. The symmetric genus σ(G) is the minimum genus of any Riemann surface on which G acts (possibly reversing orientation).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 41 , Issue 1 , March 1999 , pp. 115 - 124
Copyright
1999 Glasgow Mathematical Journal Trust