I would like to use that the fundamental group $π_1(M)$ of a compact surface $M$ possibly with boundary has a finite set of generators. According to some questions here and sources elsewhere², it sounds like this is well-known but I couldn't find a proof or reference anywhere. Do you know one?
2026-04-06 08:03:23.1775462603
Is the fundamental group of a compact surface finitely generated?
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