Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
classical group |
| gptkbp:centralTo |
cyclic group
|
| gptkbp:definedIn |
finite field of order q^2
|
| gptkbp:fieldAutomorphism |
involves Frobenius automorphism
|
| gptkbp:fullName |
Special Unitary Group of degree n over the finite field with q^2 elements
|
| gptkbp:hasSubgroup |
U(n,q)
|
| https://www.w3.org/2000/01/rdf-schema#label |
SU(n,q)
|
| gptkbp:isSimple |
n > 1, (n,q) \\neq (2,2), (2,3)
|
| gptkbp:notation |
gptkb:SU(n,q)
|
| gptkbp:order |
q^{n(n-1)/2} \\prod_{i=1}^n (q^i - (-1)^i)
|
| gptkbp:preserves |
non-degenerate Hermitian form
|
| gptkbp:relatedTo |
gptkb:PSU(n,q)
|
| gptkbp:type |
Lie type group
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
coding theory cryptography representation theory finite group theory |
| gptkbp:bfsParent |
gptkb:PSU(n,q)
|
| gptkbp:bfsLayer |
6
|