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gptkbp:instanceOf
|
gptkb:Weyl_group
gptkb:group_of_people
|
|
gptkbp:automorphismGroup
|
gptkb:octonion_algebra_(split_form)
|
|
gptkbp:connectedTo
|
gptkb:exceptional_Lie_groups
gptkb:octonions
algebraic groups
finite simple groups
|
|
gptkbp:hasBNPair
|
true
|
|
gptkbp:hasOuterAutomorphism
|
field automorphism
graph automorphism (for q even)
|
|
gptkbp:hasSubgroup
|
gptkb:E_6(q)
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
G 2(q)
|
|
gptkbp:isCenterless
|
true (for q > 2)
|
|
gptkbp:isDefinedOver
|
finite field of order q
|
|
gptkbp:isExceptionalGroup
|
true
|
|
gptkbp:isGroupOfLieType
|
true
|
|
gptkbp:isNonAbelian
|
true
|
|
gptkbp:isPerfect
|
true (for q > 2)
|
|
gptkbp:isQuasisimple
|
true (for q > 2)
|
|
gptkbp:isSimple
|
false (for q = 2)
true (for q > 2)
|
|
gptkbp:isSimpleGroupOfLieType
|
true (for q > 2)
|
|
gptkbp:isSplitForm
|
true
|
|
gptkbp:isSporadicGroup
|
false
|
|
gptkbp:isTwistedForm
|
false
|
|
gptkbp:isUsedInClassificationOfFiniteSimpleGroups
|
true
|
|
gptkbp:order
|
q^6(q^6-1)(q^2-1)
|
|
gptkbp:rank
|
2
|
|
gptkbp:relatedTo
|
gptkb:G_2_Lie_algebra
gptkb:root_system_G_2
|
|
gptkbp:bfsParent
|
gptkb:G_2
|
|
gptkbp:bfsLayer
|
6
|