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Understanding Surface Groups and Coverings by Epic Win is a document available to read on EtoBox.
What is Understanding Surface Groups and Coverings about?
The document defines surface groups and discusses the relationship between surface groups and fundamental groups of surfaces. The main result is that the surface group Γh is a subgroup of the surface group Γg if and only if g-1 divides h-1. This is proven using properties of covering spaces, Euler characteristic, and the fundamental theorem of covering spaces.
- Author
- Epic Win
- Language
- EN