general linear group GL(2n,q)
GPTKB entity
Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
2n-dimensional vector space over finite field of order q
|
| gptkbp:centralTo |
scalar matrices over finite field of order q
|
| gptkbp:contains |
gptkb:special_linear_group_SL(2n,q)
|
| gptkbp:containsElement |
invertible 2n x 2n matrices over finite field of order q
|
| gptkbp:definedIn |
finite field of order q
|
| gptkbp:hasNormalSubgroup |
gptkb:special_linear_group_SL(2n,q)
|
| gptkbp:hasSubgroup |
gptkb:general_linear_group_GL(m,q)_for_m_>_2n
|
| https://www.w3.org/2000/01/rdf-schema#label |
general linear group GL(2n,q)
|
| gptkbp:isFinite |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isQuotientOf |
gptkb:projective_general_linear_group_PGL(2n,q)
|
| gptkbp:isSimple |
false
|
| gptkbp:notation |
gptkb:GL(2n,q)
|
| gptkbp:order |
(q^{2n}-1)(q^{2n}-q)...(q^{2n}-q^{2n-1})
|
| gptkbp:originatedIn |
gptkb:algebraic_geometry
coding theory representation theory finite group theory |
| gptkbp:bfsParent |
gptkb:symplectic_group_Sp(2n,q)
|
| gptkbp:bfsLayer |
7
|