Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:real_projective_plane
real projective line |
| gptkbp:centralTo |
trivial
|
| gptkbp:compact |
true
|
| gptkbp:defines |
the group of 2x2 invertible real matrices modulo scalar multiples
|
| gptkbp:dimensions |
3
|
| gptkbp:field |
real numbers
|
| gptkbp:fullName |
Projective General Linear Group of 2x2 real matrices
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasOuterAutomorphisms |
true
|
| gptkbp:hasSubgroup |
gptkb:PSL(2,_R)
|
| https://www.w3.org/2000/01/rdf-schema#label |
PGL(2, R)
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
projective linear transformations of RP^1
|
| gptkbp:isQuotientOf |
gptkb:GL(2,_R)
center of GL(2, R) |
| gptkbp:isSimple |
no
|
| gptkbp:notation |
gptkb:PGL(2,_ℝ)
|
| gptkbp:order |
infinite
|
| gptkbp:relatedTo |
gptkb:PSL(2,_R)
|
| gptkbp:usedIn |
gptkb:geometry
gptkb:hyperbolic_geometry group theory |
| gptkbp:bfsParent |
gptkb:PSL(2,_R)
|
| gptkbp:bfsLayer |
7
|