Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
gptkb:group_of_people |
| gptkbp:actsOn |
regular n-gon
|
| gptkbp:centralTo |
order 2 if n even
trivial if n odd |
| gptkbp:Dynkin_diagram |
two nodes connected by an edge labeled n
|
| gptkbp:generation |
reflection
rotation |
| gptkbp:hasSubgroup |
cyclic group of order n
n subgroups of order 2 |
| https://www.w3.org/2000/01/rdf-schema#label |
I 2(n) (dihedral group)
|
| gptkbp:isNonAbelian |
false
|
| gptkbp:isomorphicTo |
dihedral group of order 2n
|
| gptkbp:isSimple |
false
|
| gptkbp:order |
2n
|
| gptkbp:orderOfReflectionSubgroup |
2
|
| gptkbp:orderOfRotationSubgroup |
n
|
| gptkbp:presentedBy |
⟨r, s | r^n = s^2 = 1, srs = r^{-1}⟩
|
| gptkbp:usedIn |
gptkb:geometry
group theory |
| gptkbp:bfsParent |
gptkb:Coxeter_groups
|
| gptkbp:bfsLayer |
7
|