Macbeath surface (original) (raw)
In Riemann surface theory and hyperbolic geometry, the Macbeath surface, also called Macbeath's curve or the Fricke–Macbeath curve, is the genus-7 Hurwitz surface. The automorphism group of the Macbeath surface is the simple group PSL(2,8), consisting of 504 symmetries.
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| dbo:abstract | In Riemann surface theory and hyperbolic geometry, the Macbeath surface, also called Macbeath's curve or the Fricke–Macbeath curve, is the genus-7 Hurwitz surface. The automorphism group of the Macbeath surface is the simple group PSL(2,8), consisting of 504 symmetries. (en) En géométrie hyperbolique, une surface de Macbeath, également appelée courbe de Macbeath ou courbe de Fricke–Macbeath, est une surface de Riemann de genre 7. C'est une , c'est-à-dire une surface de Riemann qui possède le nombre maximum d'automorphismes donné par le théorème d'Hurwitz pour les surfaces de Riemann de genre donné. Son groupe d'automorphismes est isomorphe à PSL(2,F8) et a 504 symétries. (fr) Na teoria da superfície de Riemann e na geometria hiperbólica, a superfície de Macbeath, também chamada curva de Macbeath ou curva de Fricke-Macbeath, é a superfície do gênero 7 de Hurwitz . O grupo automorfismo da superfície Macbeath é o grupo simples , constituído por 504 simetrias. (pt) Поверхность Макбита, кривая Макбита или кривая Фрикке — Макбита, — это поверхность Гурвица рода 7. (ru) |
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| dbp:authorlink | Robert Fricke (en) |
| dbp:first | Robert (en) |
| dbp:last | Fricke (en) |
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| dbp:year | 1899 (xsd:integer) |
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| gold:hypernym | dbr:Surface |
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| rdfs:comment | In Riemann surface theory and hyperbolic geometry, the Macbeath surface, also called Macbeath's curve or the Fricke–Macbeath curve, is the genus-7 Hurwitz surface. The automorphism group of the Macbeath surface is the simple group PSL(2,8), consisting of 504 symmetries. (en) En géométrie hyperbolique, une surface de Macbeath, également appelée courbe de Macbeath ou courbe de Fricke–Macbeath, est une surface de Riemann de genre 7. C'est une , c'est-à-dire une surface de Riemann qui possède le nombre maximum d'automorphismes donné par le théorème d'Hurwitz pour les surfaces de Riemann de genre donné. Son groupe d'automorphismes est isomorphe à PSL(2,F8) et a 504 symétries. (fr) Na teoria da superfície de Riemann e na geometria hiperbólica, a superfície de Macbeath, também chamada curva de Macbeath ou curva de Fricke-Macbeath, é a superfície do gênero 7 de Hurwitz . O grupo automorfismo da superfície Macbeath é o grupo simples , constituído por 504 simetrias. (pt) Поверхность Макбита, кривая Макбита или кривая Фрикке — Макбита, — это поверхность Гурвица рода 7. (ru) |
| rdfs:label | Surface de Macbeath (fr) Macbeath surface (en) Superfície de Macbeath (pt) Поверхность Макбита (ru) |
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