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gptkbp:instanceOf
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gptkb:Mathematical_group
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gptkbp:application
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Automorphism groups of Riemann surfaces
Monodromy groups
Symmetry groups of tilings
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gptkbp:category
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Discrete group
Reflection group
Symmetry group
Finitely presented group
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gptkbp:definedIn
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Three generators and three relations
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gptkbp:example
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gptkb:(2,3,5)_triangle_group
gptkb:(2,3,7)_triangle_group
(2,3,3) triangle group
(3,3,3) triangle group
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gptkbp:field
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gptkb:geometry
gptkb:Group_theory
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gptkbp:hasSpecialCase
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Finite triangle group
Infinite triangle group
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gptkbp:introduced
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gptkb:Felix_Klein
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gptkbp:loveInterest
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(xyz)^2 = x^p = y^q = z^r = 1
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gptkbp:notation
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T(p, q, r)
Δ(p, q, r)
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gptkbp:order
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Finite if 1/p + 1/q + 1/r > 1
Infinite if 1/p + 1/q + 1/r ≤ 1
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gptkbp:relatedTo
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gptkb:Spherical_geometry
gptkb:Weyl_group
gptkb:Modular_group
gptkb:Euclidean_geometry
gptkb:modular_group
gptkb:Hyperbolic_geometry
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gptkbp:bfsParent
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gptkb:Modular_group
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gptkbp:bfsLayer
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8
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https://www.w3.org/2000/01/rdf-schema#label
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Triangle group
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