Statements (25)
| 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:hasApplication |
gptkb:conformal_geometry
gptkb:hyperbolic_geometry |
| gptkbp:hasComponent |
gptkb:Z/2Z
|
| gptkbp:hasConnection |
false
|
| gptkbp:hasSubgroup |
gptkb:PSL_2(R)
|
| https://www.w3.org/2000/01/rdf-schema#label |
PGL 2(R)
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isomorphicTo |
PSL_2(R) semidirect product with Z/2Z
|
| gptkbp:isQuotientOf |
GL_2(R)
SL_2(R) by {±I} center of GL_2(R) |
| gptkbp:isSimple |
false
|
| gptkbp:order |
infinite
|
| gptkbp:relatedTo |
GL_2(R)
|
| gptkbp:usedIn |
gptkb:geometry
modular forms automorphic forms |
| gptkbp:bfsParent |
gptkb:PGL(2,R)
|
| gptkbp:bfsLayer |
8
|