Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:abbreviation |
gptkb:PGL
|
| gptkbp:actsOn |
gptkb:geometry
|
| gptkbp:category |
gptkb:group_of_people
orthogonal group classical group |
| gptkbp:centralTo |
gptkb:general_linear_group
|
| gptkbp:defines |
quotient of the general linear group by its center
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:isQuotientOf |
gptkb:general_linear_group
|
| gptkbp:isSimple |
n > 2 and |F| > 3
|
| gptkbp:notation |
gptkb:PGL(n,_F)
|
| gptkbp:order |
(q^n-1)(q^n-q)...(q^n-q^{n-1})/(q-1) for finite field F_q
|
| gptkbp:parameter |
F (field)
n (dimension) |
| gptkbp:relatedTo |
gptkb:general_linear_group
projective special linear group |
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:geometry group theory |
| gptkbp:bfsParent |
gptkb:general_linear_group
|
| gptkbp:bfsLayer |
5
|