Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
orthogonal group |
| gptkbp:actsOn |
n-dimensional vector space over finite field of order q
|
| gptkbp:definedIn |
finite field
|
| gptkbp:fieldCharacteristic |
characteristic of finite field of order q
|
| gptkbp:hasSubgroup |
gptkb:O(n,q)
gptkb:GL(n,q) |
| https://www.w3.org/2000/01/rdf-schema#label |
SO(n,q)
|
| gptkbp:isSimple |
n >= 3, (n,q) ≠ (4,2), (2,2), (2,3)
|
| gptkbp:notation |
gptkb:SO(n,q)
|
| gptkbp:order |
depends on n and q
|
| gptkbp:parameter |
n
q |
| gptkbp:preserves |
non-degenerate quadratic form
|
| gptkbp:relatedTo |
gptkb:projective_special_orthogonal_group
orthogonal group |
| gptkbp:bfsParent |
gptkb:special_orthogonal_group_SO(n,q)
|
| gptkbp:bfsLayer |
7
|