Hurwitz's automorphisms theorem
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:compact_Riemann_surfaces
genus greater than 1 |
| gptkbp:field |
gptkb:algebraic_geometry
complex analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Hurwitz's automorphisms theorem
|
| gptkbp:maximumAutomorphismOrder |
84(g-1)
|
| gptkbp:namedAfter |
gptkb:Adolf_Hurwitz
|
| gptkbp:relatedTo |
gptkb:Riemannian_manifold
automorphism group genus of a surface |
| gptkbp:state |
The order of the automorphism group of a compact Riemann surface of genus g > 1 is at most 84(g − 1).
|
| gptkbp:yearProved |
1893
|
| gptkbp:bfsParent |
gptkb:Adolf_Hurwitz
|
| gptkbp:bfsLayer |
5
|