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... > topology > algebraic topology > manifold > differentiable manifold > complex manifold > Riemann surface > Klein quartic
... > geometry > topological space > manifold > differentiable manifold > complex manifold > Riemann surface > Klein quartic
... > geometry > differential geometry > differentiable manifold > complex manifold > Riemann surface > Klein quartic
... > topology > differential topology > differentiable manifold > complex manifold > Riemann surface > Klein quartic
geometry > complex geometry > complex manifold > Riemann surface > Klein quartic
geometry > non-Euclidean geometry > hyperbolic geometry > Klein quartic
geometry > differential geometry > differential geometry of surfaces > Klein quartic
geometry > algebraic geometry > algebraic variety > algebraic curve > Klein quartic
geometry > differential geometry > systolic geometry > Klein quartic
mathematical analysis > functional analysis > geometry of numbers > systolic geometry > Klein quartic
number > number theory > geometry of numbers > systolic geometry > Klein quartic
geometry > discrete geometry > geometry of numbers > systolic geometry > Klein quartic
... > number > real number > Diophantine approximation > geometry of numbers > systolic geometry > Klein quartic
geometry > topological space > metric space > systolic geometry > Klein quartic

Terme préférentiel

Klein quartic  

Définition(s)

  • In hyperbolic geometry, the Klein quartic, named after Felix Klein, is a compact Riemann surface of genus 3 with the highest possible order automorphism group for this genus, namely order 168 orientation-preserving automorphisms, and 168 × 2 = 336 automorphisms if orientation may be reversed. As such, the Klein quartic is the Hurwitz surface of lowest possible genus; see Hurwitz's automorphisms theorem. Its (orientation-preserving) automorphism group is isomorphic to PSL(2, 7), the second-smallest non-abelian simple group after the alternating group A5. The quartic was first described in (Klein 1878).
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Klein_quartic)

Concept(s) générique(s)

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http://data.loterre.fr/ark:/67375/PSR-N1L2QDR2-R

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RDF/XML TURTLE JSON-LD Date de création 21/07/2023, dernière modif. 21/07/2023