Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
gptkb:algebraic_geometry simple group |
| gptkbp:automorphismGroup |
gptkb:G2
|
| gptkbp:builtBy |
gptkb:Claude_Chevalley
|
| gptkbp:definedIn |
arbitrary field
|
| gptkbp:Dynkin_diagram |
gptkb:G2
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasType |
gptkb:G2
|
| https://www.w3.org/2000/01/rdf-schema#label |
Chevalley group G2
|
| gptkbp:isExceptional |
true
|
| gptkbp:isSimple |
algebraically closed fields
true finite fields |
| gptkbp:isSplit |
true
|
| gptkbp:order |
q^6(q^6-1)(q^2-1)
|
| gptkbp:rank |
2
|
| gptkbp:relatedTo |
gptkb:exceptional_Lie_groups
gptkb:octonions finite simple groups algebraic groups over finite fields Lie algebra of type G2 |
| gptkbp:type |
gptkb:G2_root_system
|
| gptkbp:usedIn |
gptkb:Lie_theory
gptkb:algebraic_geometry group theory representation theory finite group theory |
| gptkbp:Weyl_group |
gptkb:dihedral_group_of_order_12
|
| gptkbp:bfsParent |
gptkb:2G2(q)
|
| gptkbp:bfsLayer |
8
|