projective linear group PGL(2, C)
GPTKB entity
Statements (24)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
gptkbp:actsOn |
complex projective line
|
gptkbp:appearsIn |
gptkb:algebraic_geometry
complex analysis group theory |
gptkbp:automorphismGroup |
complex projective line
|
gptkbp:centralTo |
trivial
|
gptkbp:dimensions |
3
|
gptkbp:field |
complex numbers
|
gptkbp:hasSubgroup |
gptkb:PSL(2,_C)
Borel subgroup diagonal matrices modulo scalars |
https://www.w3.org/2000/01/rdf-schema#label |
projective linear group PGL(2, C)
|
gptkbp:isomorphicTo |
gptkb:PSL(2,_C)
|
gptkbp:isQuotientOf |
gptkb:C*
gptkb:GL(2,_C) |
gptkbp:isSimple |
true
|
gptkbp:notation |
gptkb:PGL(2,_C)
|
gptkbp:order |
infinite
|
gptkbp:relatedTo |
gptkb:Möbius_transformations
|
gptkbp:bfsParent |
gptkb:Möbius_transformations
gptkb:SL(2,_C) |
gptkbp:bfsLayer |
7
|