Statements (22)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:group_of_people
|
gptkbp:automorphismGroup |
S3
|
gptkbp:centralTo |
gptkb:C2_×_C2
|
gptkbp:commutatorSubgroup |
trivial group
|
gptkbp:cycle |
false
|
gptkbp:exponent |
2
|
gptkbp:hasElementOrder |
2
1 |
gptkbp:hasNormalSubgroup |
S4
|
gptkbp:hasSubgroup |
5
S4 |
https://www.w3.org/2000/01/rdf-schema#label |
C2 × C2
|
gptkbp:isDirectProductOf |
C2
|
gptkbp:isNonAbelian |
true
|
gptkbp:isomorphicTo |
gptkb:Klein_four-group
|
gptkbp:notation |
gptkb:V_4
Z2 × Z2 |
gptkbp:numberOfElementsOfOrder2 |
3
|
gptkbp:order |
4
|
gptkbp:presentedBy |
⟨a, b | a^2 = b^2 = 1, ab = ba⟩
|
gptkbp:bfsParent |
gptkb:V_4
|
gptkbp:bfsLayer |
6
|