|
gptkbp:instanceOf
|
gptkb:algebraic_geometry
gptkb:group_of_people
|
|
gptkbp:class
|
part of classification of finite simple groups
|
|
gptkbp:example
|
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_2F4(q)
gptkb:Ree_group_2G2(q)
gptkb:Suzuki_group_Sz(q)
gptkb:Tits_group
G2(q)
Ree group 2E6(q)
|
|
gptkbp:firstClassifiedBy
|
gptkb:Michio_Suzuki
gptkb:Claude_Chevalley
gptkb:Rimhak_Ree
gptkb:Robert_Steinberg
|
|
gptkbp:hasExceptionalType
|
gptkb:G2
gptkb:F4
E8
E6
E7
|
|
gptkbp:hasProperty
|
many are simple groups
arise from algebraic groups over finite fields
most finite simple groups are of Lie type
|
|
gptkbp:hasTwistedType
|
gptkb:Suzuki_groups
gptkb:unitary_groups
Ree groups
|
|
gptkbp:hasUntwistedType
|
gptkb:Chevalley_groups
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
finite group of Lie type
|
|
gptkbp:includes
|
gptkb:Suzuki_group
gptkb:Weyl_group
gptkb:Steinberg_group
gptkb:Ree_group
gptkb:twisted_Chevalley_group
|
|
gptkbp:namedAfter
|
gptkb:Sophus_Lie
|
|
gptkbp:order
|
depends on type and field size
|
|
gptkbp:originatedIn
|
algebraic group over finite field
|
|
gptkbp:relatedTo
|
gptkb:Weyl_group
gptkb:algebraic_geometry
gptkb:Lie_group
gptkb:root
finite field
classification of finite simple groups
|
|
gptkbp:studiedIn
|
gptkb:algebra
gptkb:geometry
group theory
|
|
gptkbp:subclassOf
|
gptkb:group_of_people
|
|
gptkbp:bfsParent
|
gptkb:F4(q)
|
|
gptkbp:bfsLayer
|
6
|