Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:alsoKnownAs |
projective omega group
|
| gptkbp:definedIn |
finite field of order q
|
| gptkbp:hasNormalSubgroup |
gptkb:projective_orthogonal_group
|
| gptkbp:hasSubgroup |
gptkb:projective_orthogonal_group
|
| gptkbp:isQuotientOf |
Ω(n,q)
|
| gptkbp:isSimple |
n ≥ 7, q odd
n ≥ 8, q even |
| gptkbp:orderDependsOn |
n
q |
| gptkbp:originatedIn |
orthogonal geometry
|
| gptkbp:parameter |
n
q |
| gptkbp:relatedTo |
gptkb:orthogonal_group
|
| gptkbp:usedIn |
classification of finite simple groups
finite group theory |
| gptkbp:bfsParent |
gptkb:finite_Chevalley_group
gptkb:groups_of_Lie_type gptkb:untwisted_group_of_Lie_type gptkb:finite_group_of_Lie_type |
| gptkbp:bfsLayer |
9
|
| https://www.w3.org/2000/01/rdf-schema#label |
PΩ(n,q)
|