projective special linear group PSL(9)
GPTKB entity
Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:automorphismGroup |
projective general linear group PGL(9)
|
| gptkbp:category |
gptkb:group_of_people
orthogonal group classical group |
| gptkbp:definedIn |
finite field
|
| gptkbp:fullName |
Projective Special Linear Group of degree 9
|
| gptkbp:hasSubgroup |
projective special linear group PSL(7)
projective special linear group PSL(8) |
| https://www.w3.org/2000/01/rdf-schema#label |
projective special linear group PSL(9)
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isQuotientOf |
gptkb:special_linear_group_SL(9)
center of SL(9) |
| gptkbp:isSimple |
true
|
| gptkbp:notation |
PSL(9)
PSL(9,q) PSL_9(F) |
| gptkbp:order |
(q^9-1)(q^9-q)...(q^9-q^8)/((q-1)(q^2-1)...(q^9-1))
|
| gptkbp:partOf |
family of groups PSL(n,q)
|
| gptkbp:usedIn |
gptkb:geometry
group theory algebraic combinatorics |
| gptkbp:bfsParent |
gptkb:special_linear_group_SL(9)
|
| gptkbp:bfsLayer |
8
|