| Free Actions on Surfaces by Finite Groups |
| Received:June 24, 2005 Revised:July 02, 2006 |
| Key Words:
finite group closed surface free action computer.
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| Fund Project:the National Natural Science Foundation of China (10371029); the Natural Science Foundation of Hebei Province (103144). |
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| Abstract: |
| By making use of the computer, we determine upper bounds for the number of orientation-reversing free actions of finite groups on closed orientable surfaces $T^{nr+1}$ and all finite groups which act orientation-reversing freely on closed orientable surfaces $T^{nr+1}$ with low genus or $T^p$ such that $p-1$ is a prime. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.03.023 |
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