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Maximum orders of extendable actions on surfaces

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Abstract

We determine the maximum order E g of finite groups G acting on the closed surface Σ g of genus g which extends over (S 3,Σ g ) for all possible embeddings Σ g ↪ S 3, where g > 1.

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Authors and Affiliations

  1. School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China

    Chao Wang, Shi Cheng Wang & Yi Mu Zhang

Authors
  1. Chao Wang
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  2. Shi Cheng Wang
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  3. Yi Mu Zhang
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Corresponding author

Correspondence to Chao Wang.

Additional information

The second author is partially supported by National Natural Science Foundation of China (Grant No. 11371034)

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Wang, C., Wang, S.C. & Zhang, Y.M. Maximum orders of extendable actions on surfaces. Acta. Math. Sin.-English Ser. 32, 54–68 (2016). https://doi.org/10.1007/s10114-014-4111-6

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  • DOI: https://doi.org/10.1007/s10114-014-4111-6

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