Hurwitz's Automorphism Theorem

Hurwitz's automorphism theorem states that the automorphism group of a compact Riemann surface of genus is a finite group whose group order satisfies the Hurwitz bound (Hurwitz 1893).

See also

Hurwitz Bound, Riemann Surface

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References

Hurwitz, A. "Über algebraische Gebilde mit eindeutigen Transformationen in sich." Math. Ann. 41, 403-442, 1893. https://doi.org/10.1007/BF01443420.

Cite this as:

Weisstein, Eric W. "Hurwitz's Automorphism Theorem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HurwitzsAutomorphismTheorem.html

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