Uniqueness of orientation-preserving free actions of finite abelian groups on surfaces |
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| Authors: | Yan She Xuezhi Zhao |
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| Institution: | Department of Mathematics, School of Mathematical Sciences, Capital Normal University, Beijing 100048, China |
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| Abstract: | Let G be a finite abelian group. We list all the cases where the topological equivalence class of orientation-preserving free G-actions on a closed surface is unique. Moreover, we obtain the classification of topological equivalence classes of orientation-preserving free actions of finite abelian groups of rank 2. |
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| Keywords: | 20F34 14H37 14H30 14J50 |
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