Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
real projective line
|
| gptkbp:centralTo |
trivial
|
| gptkbp:definedIn |
real numbers
|
| gptkbp:dimensions |
3
|
| gptkbp:fullName |
gptkb:projective_general_linear_group_of_2x2_real_matrices
|
| gptkbp:hasSubgroup |
gptkb:PSL(2,R)
|
| https://www.w3.org/2000/01/rdf-schema#label |
PGL(2,R)
|
| gptkbp:isomorphicTo |
PSL(2,R) when determinant is positive
|
| gptkbp:isQuotientOf |
gptkb:GL(2,R)
center of GL(2,R) |
| gptkbp:isSimple |
no
|
| gptkbp:notation |
gptkb:PGL(2,ℝ)
gptkb:PGL_2(R) |
| gptkbp:order |
infinite
|
| gptkbp:originatedIn |
gptkb:geometry
gptkb:hyperbolic_geometry complex analysis |
| gptkbp:relatedTo |
gptkb:Möbius_transformations
gptkb:automorphism_group_of_real_projective_line |
| gptkbp:type |
gptkb:Lie_group
|
| gptkbp:bfsParent |
gptkb:PSL(2,R)
|
| gptkbp:bfsLayer |
7
|