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gptkbp:instanceOf
|
gptkb:group_of_people
orthogonal group
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|
gptkbp:actsOn
|
vector space of dimension 2n over finite field with q elements
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|
gptkbp:automorphismGroup
|
vector space of dimension 2n over finite field with q elements
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gptkbp:centralTo
|
scalar matrices
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|
gptkbp:containsElement
|
invertible 2n x 2n matrices over finite field with q elements
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gptkbp:determinantMapTo
|
multiplicative group of finite field with q elements
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gptkbp:field
|
finite field with q elements
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|
gptkbp:fullName
|
General Linear Group of degree 2n over the finite field with q elements
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|
gptkbp:hasBorelSubgroup
|
true
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|
gptkbp:hasConjugacyClasses
|
true
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|
gptkbp:hasConnection
|
true
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|
gptkbp:hasDeterminantMap
|
true
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|
gptkbp:hasIrreducibleRepresentations
|
true
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|
gptkbp:hasMaximalTorus
|
true
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gptkbp:hasSubgroup
|
GL(m,q) for m > 2n
SL(2n,q)
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|
https://www.w3.org/2000/01/rdf-schema#label
|
GL(2n,q)
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gptkbp:isAlgebraicGroup
|
true
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gptkbp:isChevalleyGroup
|
true
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gptkbp:isClassicalGroup
|
true
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|
gptkbp:isDefinedOver
|
finite field with q elements
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|
gptkbp:isFinite
|
true
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|
gptkbp:isNonAbelian
|
true
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gptkbp:isParabolicSubgroupOf
|
GL(m,q) for m > 2n
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|
gptkbp:isQuotientOf
|
SL(2n,q)
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|
gptkbp:isReductive
|
true
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|
gptkbp:isSimple
|
false
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gptkbp:isSplit
|
true
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gptkbp:notation
|
gptkb:GL(2n,q)
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gptkbp:order
|
(q^{2n}-1)(q^{2n}-q)...(q^{2n}-q^{2n-1})
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gptkbp:relatedTo
|
gptkb:projective_general_linear_group_PGL(2n,q)
gptkb:special_linear_group_SL(2n,q)
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gptkbp:Weyl_group
|
symmetric group S_{2n}
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gptkbp:bfsParent
|
gptkb:Sp(2n,q)
gptkb:PGL(2n,q)
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gptkbp:bfsLayer
|
7
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