Statements (16)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:Trinity
|
gptkbp:actsOn |
gptkb:hyperbolic_plane
|
gptkbp:generation |
elements of order 2, 3, and 7
|
gptkbp:hasSubgroup |
(2,3,7) von Dyck group
|
https://www.w3.org/2000/01/rdf-schema#label |
(2,3,7) triangle group
|
gptkbp:isMaximalSymmetryGroupOf |
compact Riemann surfaces of genus 3
|
gptkbp:isQuotientOf |
gptkb:PSL(2,7)
Klein quartic automorphism group |
gptkbp:notation |
Δ(2,3,7)
|
gptkbp:order |
infinite
|
gptkbp:presentedBy |
⟨x, y, z | x^2 = y^3 = z^7 = xyz = 1⟩
|
gptkbp:relatedTo |
gptkb:Klein_quartic
gptkb:Hurwitz_surfaces |
gptkbp:type |
modular group
|
gptkbp:bfsParent |
gptkb:triangle_group_(2,3,∞)
|
gptkbp:bfsLayer |
6
|