special orthogonal group SO(n,q)
GPTKB entity
Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
gptkb:group_of_people |
| gptkbp:actsOn |
n-dimensional vector space over F_q
|
| gptkbp:centerDependsOn |
n
q |
| gptkbp:definedIn |
finite field
|
| gptkbp:hasSubgroup |
gptkb:general_linear_group_GL(n,q)
gptkb:orthogonal_group_O(n,q) |
| https://www.w3.org/2000/01/rdf-schema#label |
special orthogonal group SO(n,q)
|
| gptkbp:isChevalleyGroup |
true
|
| gptkbp:isSimple |
n >= 3, q > 3, (n,q) ≠ (4,2), (4,3)
|
| gptkbp:notation |
gptkb:SO(n,q)
SO_n(q) |
| gptkbp:orderDependsOn |
n
q |
| gptkbp:parameter |
n
q |
| gptkbp:preserves |
non-degenerate quadratic form
|
| gptkbp:relatedTo |
gptkb:group_of_people
gptkb:Lie_type_D_n |
| gptkbp:bfsParent |
gptkb:Chevalley_groups
|
| gptkbp:bfsLayer |
6
|