Topologically unique maximal elementary abelian group actions on compact oriented surfaces |
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Authors: | S. Allen Broughton |
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Affiliation: | a Rose-Hulman Institute of Technology, United States b University of Portland, United States |
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Abstract: | We determine all finite maximal elementary abelian group actions on compact oriented surfaces of genus σ≥2 which are unique up to topological equivalence. For certain special classes of such actions, we determine group extensions which also define unique actions. In addition, we explore in detail one of the families of such surfaces considered as compact Riemann surfaces and tackle the classical problem of constructing defining equations. |
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Keywords: | 14J10 14J50 30F10 30F20 |
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