Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
gptkb:group_of_people |
| gptkbp:automorphismGroup |
E_7(q) ⋊ Aut(F_q)
|
| gptkbp:definedIn |
finite field of order q
|
| gptkbp:Dynkin_diagram |
gptkb:E_7
|
| gptkbp:hasCenterOrder |
gcd(2, q-1)
|
| gptkbp:hasSubgroup |
gptkb:E_8(q)
|
| https://www.w3.org/2000/01/rdf-schema#label |
E 7(q)
|
| gptkbp:isQuasisimpleFor |
q = 2
|
| gptkbp:isSimple |
q > 2
|
| gptkbp:order |
q^{63}(q^{2}-1)(q^{6}-1)(q^{8}-1)(q^{10}-1)(q^{12}-1)(q^{14}-1)(q-1)
|
| gptkbp:partOf |
family of groups of Lie type
|
| gptkbp:rank |
7
|
| gptkbp:relatedTo |
gptkb:E_7_Lie_algebra
|
| gptkbp:type |
simple group (for q > 2)
|
| gptkbp:usedIn |
representation theory
algebraic group theory finite group theory finite simple group classification |
| gptkbp:Weyl_group |
Weyl group of type E_7
|
| gptkbp:bfsParent |
gptkb:E_6(q)
|
| gptkbp:bfsLayer |
8
|