projective general linear group PGL(2n,q)
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
projective linear group |
| gptkbp:actsOn |
projective space of dimension 2n-1 over F_q
|
| gptkbp:contains |
PSL(2n,q)
|
| gptkbp:definedIn |
finite field of order q
|
| https://www.w3.org/2000/01/rdf-schema#label |
projective general linear group PGL(2n,q)
|
| gptkbp:isQuotientOf |
gptkb:general_linear_group_GL(2n,q)
center of GL(2n,q) |
| gptkbp:isSimple |
false
|
| gptkbp:notation |
gptkb:PGL(2n,q)
|
| gptkbp:order |
(q^{2n}-1)(q^{2n-1}-1)...(q^2-1)(q-1)/((q-1))
|
| gptkbp:relatedTo |
projective special linear group PSL(2n,q)
|
| gptkbp:usedIn |
gptkb:geometry
group theory |
| gptkbp:bfsParent |
gptkb:general_linear_group_GL(2n,q)
gptkb:GL(2n,q) |
| gptkbp:bfsLayer |
8
|