Free Actions on Surfaces by Finite Groups
Received:June 24, 2005  Revised:July 02, 2006
Key Word: finite group   closed surface   free action   computer.  
Fund ProjectL:the National Natural Science Foundation of China (10371029); the Natural Science Foundation of Hebei Province (103144).
Author NameAffiliation
CHEN De-hua College of Mathematics and Information Science, Hebei Normal University, Hebei 050016, China
Department of Mathematics, Jiaying University, Guangdong 514015, China 
WANG Yan-ying College of Mathematics and Information Science, Hebei Normal University, Hebei 050016, China
 
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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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