Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
modular group discrete group |
| gptkbp:actsOn |
gptkb:hyperbolic_plane
|
| gptkbp:definedIn |
triangle with angles π/p, π/q, π/r
|
| gptkbp:hasApplication |
gptkb:geometry
gptkb:Riemann_surfaces gptkb:monodromy_groups crystallography group theory modular forms knot theory automorphic forms |
| gptkbp:hasSubgroup |
gptkb:Trinity
|
| https://www.w3.org/2000/01/rdf-schema#label |
hyperbolic triangle group
|
| gptkbp:isDiscrete |
true
|
| gptkbp:isFinite |
true
|
| gptkbp:isGeneratedBy |
reflections in sides of a hyperbolic triangle
|
| gptkbp:isNon-Euclidean |
true
|
| gptkbp:isNon-Spherical |
true
|
| gptkbp:isQuotientOf |
universal triangle group
|
| gptkbp:presentedBy |
⟨x, y, z | x^p = y^q = z^r = xyz = 1⟩
|
| gptkbp:relatedTo |
gptkb:hyperbolic_geometry
tiling of the hyperbolic plane |
| gptkbp:signature |
(p, q, r) with 1/p + 1/q + 1/r < 1
|
| gptkbp:bfsParent |
gptkb:(2,3,7)-triangle_group
|
| gptkbp:bfsLayer |
8
|