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Bulletin of the London Mathematical Society (1)

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THERE IS A GROUP OF EVERY STRONG SYMMETRIC GENUS
COY L. MAY, JAY ZIMMERMAN
Journal:

Bulletin of the London Mathematical Society / Volume 35 / Issue 4 / July 2003

Published online by Cambridge University Press:

09 June 2003, pp. 433-439

Print publication:

July 2003
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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 $n$.