紧定向曲面上拓扑唯一的极大初等阿贝尔群作用
Topologically unique maximal elementary Abelian group actions on compact oriented surfaces
摘要：
我们确定了亏格$σ\geq 2$的紧致定向曲面上的所有有限极大初等阿贝尔群作用，这些作用在拓扑等价下是唯一的。对于某些特殊的类，这样的行动，我们确定组的扩展，也定义了独特的行动。此外，我们详细探讨了家庭的这种表面被认为是紧凑的黎曼曲面和解决的经典问题，构建定义方程。
英文摘要：
We determine all finite maximal elementary abelian group actions on compact oriented surfaces of genus $σ\geq 2$ 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
