Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
projective line
|
| gptkbp:contains |
gptkb:PSL(2)
|
| gptkbp:definedIn |
gptkb:Field
|
| https://www.w3.org/2000/01/rdf-schema#label |
PGL(2)
|
| gptkbp:isNonAbelian |
true for q > 2
|
| gptkbp:isomorphicTo |
PSL(2) when field has characteristic not 2
|
| gptkbp:isQuotientOf |
gptkb:GL(2)
center of GL(2) |
| gptkbp:isSimple |
true for q > 3
|
| gptkbp:notation |
PGL(2, F)
PGL(2, q) |
| gptkbp:order |
(q^3 - q)/(q-1) for finite field of order q
|
| gptkbp:relatedTo |
gptkb:Möbius_transformations
fractional linear transformations |
| gptkbp:standsFor |
projective general linear group of degree 2
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:geometry group theory |
| gptkbp:bfsParent |
gptkb:PGL(2)_×_PGL(2)_⋉_Z/2Z
gptkb:GL(2) |
| gptkbp:bfsLayer |
7
|