Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
projective space of dimension n-1 over field with q^2 elements
|
| gptkbp:contains |
PSL(n,q^2)
|
| gptkbp:definedIn |
finite field with q^2 elements
|
| gptkbp:fullName |
Projective General Linear Group of degree n over the field with q^2 elements
|
| https://www.w3.org/2000/01/rdf-schema#label |
PGL(n,q^2)
|
| gptkbp:isFinite |
true
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isProjectiveGroup |
true
|
| gptkbp:isQuotientOf |
GL(n,q^2)
center of GL(n,q^2) |
| gptkbp:isSimple |
true (for n>2, q>2)
|
| gptkbp:order |
(q^{2n}-1)(q^{2n-1}-1)...(q^2-1)/(q^2-1)
|
| gptkbp:relatedTo |
GL(n,q^2)
|
| gptkbp:bfsParent |
gptkb:PSU(n,q)
|
| gptkbp:bfsLayer |
6
|