Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:Riemann_sphere
complex projective line |
| gptkbp:category |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:consistsOf |
gptkb:Möbius_transformations
|
| gptkbp:containsElement |
translator
dilation identity transformation rotation inversion |
| gptkbp:describes |
Group of all Möbius transformations, i.e., fractional linear transformations of the form (az + b)/(cz + d) with ad-bc ≠ 0.
|
| gptkbp:field |
gptkb:geometry
gptkb:mathematics group theory |
| gptkbp:hasSubgroup |
group of bijective conformal maps on the Riemann sphere
|
| https://www.w3.org/2000/01/rdf-schema#label |
groupe de Möbius
|
| gptkbp:isomorphicTo |
gptkb:PSL(2,C)
|
| gptkbp:matrixRepresentation |
2x2 complex matrices with nonzero determinant, modulo scalar multiples
|
| gptkbp:namedAfter |
gptkb:August_Ferdinand_Möbius
|
| gptkbp:relatedTo |
gptkb:Kleinian_group
modular group |
| gptkbp:bfsParent |
gptkb:Groupe_orthogonal
|
| gptkbp:bfsLayer |
8
|