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- First_Hurwitz_triplet abstract "In the mathematical theory of Riemann surfaces, the first Hurwitz triplet is a triple of distinct Hurwitz surfaces with the identical automorphism group of the lowest possible genus, namely 14 (genera 3 and 7 each admit a unique Hurwitz surface, respectively the Klein quartic and the Macbeath surface). The explanation for this phenomenon is arithmetic. Namely, in the ring of integers of the appropriate number field, the rational prime 13 splits as a product of three distinct prime ideals. The principal congruence subgroups defined by the triplet of primes produce Fuchsian groups corresponding to the triplet of Riemann surfaces.".
- First_Hurwitz_triplet wikiPageID "13622736".
- First_Hurwitz_triplet wikiPageLength "4943".
- First_Hurwitz_triplet wikiPageOutDegree "24".
- First_Hurwitz_triplet wikiPageRevisionID "609601707".
- First_Hurwitz_triplet wikiPageWikiLink (2,3,7)_triangle_group.
- First_Hurwitz_triplet wikiPageWikiLink Category:Differential_geometry_of_surfaces.
- First_Hurwitz_triplet wikiPageWikiLink Category:Riemann_surfaces.
- First_Hurwitz_triplet wikiPageWikiLink Category:Systolic_geometry.
- First_Hurwitz_triplet wikiPageWikiLink Central_simple_algebra.
- First_Hurwitz_triplet wikiPageWikiLink Congruence_subgroup.
- First_Hurwitz_triplet wikiPageWikiLink Euler_characteristic.
- First_Hurwitz_triplet wikiPageWikiLink Fuchsian_group.
- First_Hurwitz_triplet wikiPageWikiLink Fuchsian_model.
- First_Hurwitz_triplet wikiPageWikiLink Gaussian_curvature.
- First_Hurwitz_triplet wikiPageWikiLink Gauss–Bonnet_theorem.
- First_Hurwitz_triplet wikiPageWikiLink Hurwitz_quaternion_order.
- First_Hurwitz_triplet wikiPageWikiLink Hurwitz_surface.
- First_Hurwitz_triplet wikiPageWikiLink Hyperbolic_manifold.
- First_Hurwitz_triplet wikiPageWikiLink Klein_quartic.
- First_Hurwitz_triplet wikiPageWikiLink Macbeath_surface.
- First_Hurwitz_triplet wikiPageWikiLink Noam_Elkies.
- First_Hurwitz_triplet wikiPageWikiLink Order_(ring_theory).
- First_Hurwitz_triplet wikiPageWikiLink Quaternion_algebra.
- First_Hurwitz_triplet wikiPageWikiLink Reduced_norm.
- First_Hurwitz_triplet wikiPageWikiLink Riemann_surface.
- First_Hurwitz_triplet wikiPageWikiLink Ring_of_integers.
- First_Hurwitz_triplet wikiPageWikiLink Root_of_unity.
- First_Hurwitz_triplet wikiPageWikiLink SL(2,R).
- First_Hurwitz_triplet wikiPageWikiLink SL2(R).
- First_Hurwitz_triplet wikiPageWikiLink Systolic_geometry.
- First_Hurwitz_triplet wikiPageWikiLinkText "First Hurwitz triplet".
- First_Hurwitz_triplet wikiPageWikiLinkText "first Hurwitz triplet".
- First_Hurwitz_triplet hasPhotoCollection First_Hurwitz_triplet.
- First_Hurwitz_triplet wikiPageUsesTemplate Template:Cite_book.
- First_Hurwitz_triplet wikiPageUsesTemplate Template:Cite_journal.
- First_Hurwitz_triplet subject Category:Differential_geometry_of_surfaces.
- First_Hurwitz_triplet subject Category:Riemann_surfaces.
- First_Hurwitz_triplet subject Category:Systolic_geometry.
- First_Hurwitz_triplet type Surface.
- First_Hurwitz_triplet comment "In the mathematical theory of Riemann surfaces, the first Hurwitz triplet is a triple of distinct Hurwitz surfaces with the identical automorphism group of the lowest possible genus, namely 14 (genera 3 and 7 each admit a unique Hurwitz surface, respectively the Klein quartic and the Macbeath surface). The explanation for this phenomenon is arithmetic. Namely, in the ring of integers of the appropriate number field, the rational prime 13 splits as a product of three distinct prime ideals.".
- First_Hurwitz_triplet label "First Hurwitz triplet".
- First_Hurwitz_triplet sameAs m.03cc44r.
- First_Hurwitz_triplet sameAs Q5453087.
- First_Hurwitz_triplet sameAs Q5453087.
- First_Hurwitz_triplet wasDerivedFrom First_Hurwitz_triplet?oldid=609601707.
- First_Hurwitz_triplet isPrimaryTopicOf First_Hurwitz_triplet.