Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
gptkb:group_of_people |
| gptkbp:actsOn |
gptkb:n-dimensional_hypercube
n-dimensional cross-polytope |
| gptkbp:alsoKnownAs |
hyperoctahedral group
|
| gptkbp:centralTo |
trivial for n odd, order 2 for n even
|
| gptkbp:Dynkin_diagram |
n nodes with one double edge
|
| gptkbp:generation |
reflections
|
| gptkbp:hasSubgroup |
gptkb:S_n
|
| https://www.w3.org/2000/01/rdf-schema#label |
B n (hyperoctahedral group)
|
| gptkbp:isomorphicTo |
signed permutation group
wreath product of C_2 and S_n |
| gptkbp:namedAfter |
gptkb:hyperoctahedron
|
| gptkbp:order |
2^n n!
|
| gptkbp:presentedBy |
Coxeter presentation
|
| gptkbp:relatedTo |
D_n (Coxeter group)
S_n (symmetric group) |
| gptkbp:type |
Coxeter type B
|
| gptkbp:usedIn |
gptkb:geometry
representation theory combinatorics |
| gptkbp:bfsParent |
gptkb:Coxeter_groups
|
| gptkbp:bfsLayer |
7
|