Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
dihedral group |
| gptkbp:actsOn |
gptkb:equilateral_triangle
|
| gptkbp:CayleyTable |
exists
|
| gptkbp:centralTo |
trivial group
|
| gptkbp:containsElement |
gptkb:identity
reflection 1 reflection 2 reflection 3 rotation by 120 degrees rotation by 240 degrees |
| gptkbp:hasNormalSubgroup |
order 1 subgroup
order 3 subgroup order 6 subgroup |
| gptkbp:hasSubgroup |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
dihedral group D3
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:symmetric_group_S3
|
| gptkbp:numberOfConjugacyClasses |
3
|
| gptkbp:order |
6
|
| gptkbp:presentedBy |
<r, s | r^3 = s^2 = 1, s r s = r^{-1}>
|
| gptkbp:smallestNonAbelianGroup |
true
|
| gptkbp:usedIn |
group theory
symmetry studies |
| gptkbp:bfsParent |
gptkb:Sierpiński_gasket
gptkb:Sierpiński_triangle |
| gptkbp:bfsLayer |
6
|