Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:appearsIn |
classification of finite simple groups
|
| gptkbp:definedIn |
finite field of order q^2
|
| gptkbp:fullName |
gptkb:Projective_Special_Unitary_Group
|
| gptkbp:hasSubgroup |
gptkb:PGL(n,q^2)
|
| https://www.w3.org/2000/01/rdf-schema#label |
PSU(n,q)
|
| gptkbp:isomorphicTo |
PSL(2,4) for n=2, q=2
PSL(2,9) for n=2, q=3 |
| gptkbp:isQuotientOf |
gptkb:SU(n,q)
center of SU(n,q) |
| gptkbp:isSimple |
true
|
| gptkbp:isSimpleException |
n=2, q=2, q=3
|
| gptkbp:notation |
gptkb:PSU(n,q)
PSU_n(q) |
| gptkbp:order |
q^{n(n-1)/2} \\prod_{k=2}^n (q^k - (-1)^k)
|
| gptkbp:parameter |
n
q |
| gptkbp:relatedTo |
orthogonal group
|
| gptkbp:usedIn |
gptkb:geometry
group theory algebraic combinatorics |
| gptkbp:bfsParent |
gptkb:Weyl_group
|
| gptkbp:bfsLayer |
5
|