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THERE IS A GROUP OF EVERY STRONG SYMMETRIC GENUS

Published online by Cambridge University Press:  09 June 2003

COY L. MAY  and
JAY ZIMMERMAN
COY L. MAY
Affiliation:
Department of Mathematics, Towson University, 8000 York Road, Towson, MD 21252, USAcmay@towson.edu
JAY ZIMMERMAN
Affiliation:
Department of Mathematics, Towson University, 8000 York Road, Towson, MD 21252, USAjzimmerman@towson.edu
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Abstract

Let $G$ be a finite group. The strong symmetric genus$\sigma ^{0}(G)$ is the minimum genus of any Riemann surface on which $G$ acts, preserving orientation. For any non-negative integer $g$, there is at least one group of strong symmetric genus $g$. For $g \neq 2$, one such group has the form $Z_{k} \times D_{n}$ for some $k$ and $n$.

Keywords

57M60 (primary)20H1030F99 (secondary)
Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 4 , July 2003 , pp. 433 - 439
Copyright
© The London Mathematical Society 2003

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