Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:mathematical_concept |
| gptkbp:application |
gptkb:geometry
gptkb:symmetry tessellations |
| gptkbp:definedIn |
gptkb:software
|
| gptkbp:field |
group theory
|
| gptkbp:generation |
three elements
|
| gptkbp:hasSpecialCase |
finite triangle group
infinite triangle group |
| gptkbp:hasSubgroup |
gptkb:Weyl_group
|
| https://www.w3.org/2000/01/rdf-schema#label |
(l, m, n)-triangle group
|
| gptkbp:loveInterest |
x^l = 1
xyz = 1 y^m = 1 z^n = 1 |
| gptkbp:namedAfter |
gptkb:train
|
| gptkbp:notation |
Δ(l, m, n)
|
| gptkbp:parameter |
n
m l |
| gptkbp:presentedBy |
⟨ x, y, z | x^l = y^m = z^n = xyz = 1 ⟩
|
| gptkbp:relatedTo |
gptkb:Weyl_group
modular group |
| gptkbp:usedIn |
gptkb:Euclidean_geometry
gptkb:hyperbolic_geometry gptkb:spherical_geometry |
| gptkbp:bfsParent |
gptkb:triangle_groups
|
| gptkbp:bfsLayer |
7
|