Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Trinity
|
| gptkbp:actsOn |
gptkb:hyperbolic_plane
|
| gptkbp:alsoKnownAs |
gptkb:(2,3,7)_triangle_group
|
| gptkbp:definedIn |
presentation ⟨x, y, z | x^2 = y^3 = z^7 = xyz = 1⟩
|
| gptkbp:discreteSubgroupOf |
gptkb:PSL(2,R)
|
| gptkbp:generation |
elements of order 2, 3, and 7
|
| gptkbp:order |
infinite
|
| gptkbp:relatedTo |
gptkb:Klein_quartic
gptkb:Hurwitz_surfaces |
| gptkbp:smallest |
gptkb:hyperbolic_triangle_group
|
| gptkbp:type |
gptkb:modular_group
|
| gptkbp:usedIn |
gptkb:geometry
group theory theory of Riemann surfaces |
| gptkbp:bfsParent |
gptkb:triangle_groups
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
(2,3,7)-triangle group
|