cyclic group of order 9 (when over complex numbers)
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:automorphismGroup |
Z/9Z^* (isomorphic to Z/6Z)
|
| gptkbp:generation |
primitive 9th root of unity
|
| gptkbp:hasSubgroup |
3
|
| https://www.w3.org/2000/01/rdf-schema#label |
cyclic group of order 9 (when over complex numbers)
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
Z/9Z
|
| gptkbp:isSimple |
false
|
| gptkbp:numberOfElementsOfOrder9 |
6
|
| gptkbp:order |
9
|
| gptkbp:rank |
complex numbers
|
| gptkbp:structure |
cyclic
|
| gptkbp:subgroupStructure |
subgroups of order 1, 3, and 9
|
| gptkbp:bfsParent |
gptkb:special_linear_group_SL(9)
|
| gptkbp:bfsLayer |
8
|