About: Macbeath surface

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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.

Attributes	Values
rdf:type	bone yago:Artifact100021939 yago:Object100002684 yago:PhysicalEntity100001930 yago:Surface104362025 yago:Whole100003553 yago:WikicatRiemannSurfaces
rdfs:label	Surface de Macbeath (fr) Macbeath surface (en) Superfície de Macbeath (pt) Поверхность Макбита (ru)
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)
dcterms:subject	Riemann surfaces Systolic geometry Differential geometry of surfaces Hyperbolic geometry Riemannian geometry
Wikipage page ID	12838118 (xsd:integer)
Wikipage revision ID	1050443149 (xsd:integer)
Link from a Wikipage to another Wikipage	Proceedings of the London Mathematical Society Riemann surface Polyhedron (2,3,7) triangle group Riemann surfaces Systolic geometry Simple group Shreeram Shankar Abhyankar Fuchsian group Mathematische Annalen Lecture Notes in Computer Science Differential geometry of surfaces Hyperbolic geometry Projectively extended real line Jean-Pierre Serre Hurwitz quaternion order Hurwitz surface Hyperbolic geometry Riemannian geometry Systolic geometry Automorphism group Klein quartic First Hurwitz triplet Alexander Macbeath
Link from a Wikipage to an external page	https://zenodo.org/record/2116816/files/article.pdf
sameAs	Macbeath surface Macbeath surface Macbeath surface Macbeath surface Macbeath surface Macbeath surface Macbeath surface Macbeath surface
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Refbegin dbt:Refend dbt:Reflist dbt:Sfnp dbt:Harvs dbt:MR
authorlink	Robert Fricke (en)
first	Robert (en)
last	Fricke (en)
year	1899 (xsd:integer)
has 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)
gold:hypernym	Surface
prov:wasDerivedFrom	wikipedia-en:Macbeath_surface?oldid=1050443149&ns=0
page length (characters) of wiki page	4440 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Macbeath_surface
is Link from a Wikipage to another Wikipage of	List of curves Riemann surface List of mathematical shapes (2,3,7) triangle group Fuchsian group Area codes 519, 226 and 548 Alexander Murray MacBeath Bring's curve Projectively extended real line Hurwitz's automorphisms theorem Hurwitz quaternion order Hurwitz surface Systolic geometry Differential geometry of surfaces Bolza surface Klein quartic Shimura variety First Hurwitz triplet Macbeath curve
is Wikipage redirect of	Macbeath curve
is foaf:primaryTopic of	wikipedia-en:Macbeath_surface

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