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gptkbp:instanceOf
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gptkb:group_of_people
gptkb:mathematical_concept
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gptkbp:application
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gptkb:algebraic_geometry
number theory
representation theory
theory of finite simple groups
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gptkbp:class
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finite simple groups classification
one of the main families in the classification of finite simple groups
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gptkbp:definedIn
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finite fields
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gptkbp:example
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gptkb:Suzuki_group
gptkb:2G2(q)
gptkb:E6(q)
gptkb:E7(q)
gptkb:E8(q)
gptkb:F4(q)
gptkb:PΩ(n,q)
gptkb:PSL(n,q)
gptkb:PSU(n,q)
gptkb:PSp(2n,q)
gptkb:Ree_group
2B2(q)
2E6(q)
2E7(q)
2F4(q)
3D4(q)
3E6(q)
G2(q)
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gptkbp:field
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gptkb:mathematics
group theory
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gptkbp:firstConstructedBy
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gptkb:Michio_Suzuki
gptkb:Claude_Chevalley
gptkb:Rimhak_Ree
gptkb:Robert_Steinberg
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gptkbp:hasProperty
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arise from Lie algebras
many are simple groups
many are non-abelian
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https://www.w3.org/2000/01/rdf-schema#label
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groups of Lie type
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gptkbp:includes
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gptkb:Steinberg_groups
gptkb:Chevalley_groups
gptkb:Suzuki_groups
Ree groups
classical groups
exceptional groups
twisted groups
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gptkbp:namedAfter
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gptkb:Sophus_Lie
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gptkbp:order
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varies depending on type and field
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gptkbp:relatedTo
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gptkb:algebraic_geometry
gptkb:Lie_group
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gptkbp:structure
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arises from algebraic groups over finite fields
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gptkbp:studiedIn
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gptkb:algebra
gptkb:mathematics
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gptkbp:subclassOf
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gptkb:group_of_people
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gptkbp:bfsParent
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gptkb:Chevalley_groups
gptkb:sporadic_groups
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gptkbp:bfsLayer
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6
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