Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
gptkb:group_of_people |
| gptkbp:automorphismGroup |
2E_6(q):2
|
| gptkbp:builtBy |
Steinberg's method
|
| gptkbp:centralTo |
order (3, q+1)
|
| gptkbp:definedIn |
finite field of order q
|
| gptkbp:foundIn |
classification of finite simple groups
|
| gptkbp:has_outer_automorphism_group |
order 2
|
| gptkbp:heldBy |
gptkb:twisted_group_of_Lie_type
|
| https://www.w3.org/2000/01/rdf-schema#label |
2E 6(q)
|
| gptkbp:isSimple |
q > 2
|
| gptkbp:namedAfter |
gptkb:E_6_Lie_algebra
|
| gptkbp:notation |
^2E_6(q)
|
| gptkbp:order |
q^{36}(q^6-1)(q^{12}-1)(q^9+1)(q^8-1)(q^2-1)/(3, q+1)
|
| gptkbp:relatedTo |
gptkb:E_6(q)
E_6^2(q) |
| gptkbp:twisted_from |
gptkb:E_6(q)
|
| gptkbp:bfsParent |
gptkb:E_6(q)
|
| gptkbp:bfsLayer |
8
|