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- (2,3,7)_triangle_group abstract "In the theory of Riemann surfaces and hyperbolic geometry, the triangle group (2,3,7) is particularly important. This importance stems from its connection to Hurwitz surfaces, namely Riemann surfaces of genus g with the largest possible order, 84(g − 1), of its automorphism group.A note on terminology – the \"(2,3,7) triangle group\" most often refers, not to the full triangle group Δ(2,3,7) (the Coxeter group with Schwarz triangle (2,3,7) or a realization as a hyperbolic reflection group), but rather to the ordinary triangle group (the von Dyck group) D(2,3,7) of orientation-preserving maps (the rotation group), which is index 2.Torsion-free normal subgroups of the (2,3,7) triangle group are Fuchsian groups associated with Hurwitz surfaces, such as the Klein quartic, Macbeath surface and First Hurwitz triplet.".
- (2,3,7)_triangle_group thumbnail H2checkers_237.png?width=300.
- (2,3,7)_triangle_group wikiPageID "12659803".
- (2,3,7)_triangle_group wikiPageLength "5653".
- (2,3,7)_triangle_group wikiPageOutDegree "36".
- (2,3,7)_triangle_group wikiPageRevisionID "633077377".
- (2,3,7)_triangle_group wikiPageWikiLink 3-7_kisrhombille.
- (2,3,7)_triangle_group wikiPageWikiLink Category:Geometric_group_theory.
- (2,3,7)_triangle_group wikiPageWikiLink Category:Hyperbolic_tilings.
- (2,3,7)_triangle_group wikiPageWikiLink Category:Kleinian_groups.
- (2,3,7)_triangle_group wikiPageWikiLink Category:Riemann_surfaces.
- (2,3,7)_triangle_group wikiPageWikiLink Category:Systolic_geometry.
- (2,3,7)_triangle_group wikiPageWikiLink First_Hurwitz_triplet.
- (2,3,7)_triangle_group wikiPageWikiLink Fuchsian_group.
- (2,3,7)_triangle_group wikiPageWikiLink Fundamental_domain.
- (2,3,7)_triangle_group wikiPageWikiLink Hurwitz_quaternion_order.
- (2,3,7)_triangle_group wikiPageWikiLink Hurwitz_surface.
- (2,3,7)_triangle_group wikiPageWikiLink Hurwitzs_automorphisms_theorem.
- (2,3,7)_triangle_group wikiPageWikiLink Hyperbolic_geometry.
- (2,3,7)_triangle_group wikiPageWikiLink Index_of_a_subgroup.
- (2,3,7)_triangle_group wikiPageWikiLink Journal_of_Differential_Geometry.
- (2,3,7)_triangle_group wikiPageWikiLink Klein_quartic.
- (2,3,7)_triangle_group wikiPageWikiLink Macbeath_surface.
- (2,3,7)_triangle_group wikiPageWikiLink Modular_group.
- (2,3,7)_triangle_group wikiPageWikiLink Noam_Elkies.
- (2,3,7)_triangle_group wikiPageWikiLink Non-Euclidean_crystallographic_group.
- (2,3,7)_triangle_group wikiPageWikiLink Order_(ring_theory).
- (2,3,7)_triangle_group wikiPageWikiLink Quaternion_algebra.
- (2,3,7)_triangle_group wikiPageWikiLink Reflection_group.
- (2,3,7)_triangle_group wikiPageWikiLink Riemann_surface.
- (2,3,7)_triangle_group wikiPageWikiLink SL2(R).
- (2,3,7)_triangle_group wikiPageWikiLink Schwarz_triangle.
- (2,3,7)_triangle_group wikiPageWikiLink Systolic_geometry.
- (2,3,7)_triangle_group wikiPageWikiLink Triangle_group.
- (2,3,7)_triangle_group wikiPageWikiLink Upper_half-plane.
- (2,3,7)_triangle_group wikiPageWikiLink File:H2checkers_237.png.
- (2,3,7)_triangle_group wikiPageWikiLink File:Morphing_of_modular_tiling_to_2_3_7_triangle_tiling.gif.
- (2,3,7)_triangle_group wikiPageWikiLinkText "(2 3 7)".
- (2,3,7)_triangle_group wikiPageWikiLinkText "(2,3,7) hyperbolic triangle group".
- (2,3,7)_triangle_group wikiPageWikiLinkText "(2,3,7) triangle group".
- (2,3,7)_triangle_group wikiPageWikiLinkText "(2,3,7)".
- (2,3,7)_triangle_group wikiPageUsesTemplate Template:Arxiv.
- (2,3,7)_triangle_group wikiPageUsesTemplate Template:Order_7-3_tiling_table.
- (2,3,7)_triangle_group wikiPageUsesTemplate Template:Refbegin.
- (2,3,7)_triangle_group wikiPageUsesTemplate Template:Refend.
- (2,3,7)_triangle_group wikiPageUsesTemplate Template:Reflist.
- (2,3,7)_triangle_group subject Category:Geometric_group_theory.
- (2,3,7)_triangle_group subject Category:Hyperbolic_tilings.
- (2,3,7)_triangle_group subject Category:Kleinian_groups.
- (2,3,7)_triangle_group subject Category:Riemann_surfaces.
- (2,3,7)_triangle_group subject Category:Systolic_geometry.
- (2,3,7)_triangle_group type Group.
- (2,3,7)_triangle_group type Group.
- (2,3,7)_triangle_group type Pattern.
- (2,3,7)_triangle_group type Polytope.
- (2,3,7)_triangle_group type Surface.
- (2,3,7)_triangle_group comment "In the theory of Riemann surfaces and hyperbolic geometry, the triangle group (2,3,7) is particularly important.".
- (2,3,7)_triangle_group label "(2,3,7) triangle group".
- (2,3,7)_triangle_group sameAs Q4542150.
- (2,3,7)_triangle_group sameAs m.02w_7yw.
- (2,3,7)_triangle_group sameAs Группа_треугольника_(2,3,7).
- (2,3,7)_triangle_group sameAs Q4542150.
- (2,3,7)_triangle_group wasDerivedFrom (2,3,7)_triangle_group?oldid=633077377.
- (2,3,7)_triangle_group depiction H2checkers_237.png.
- (2,3,7)_triangle_group isPrimaryTopicOf (2,3,7)_triangle_group.